The amount Howie will pay back at the end of one year is $26000.00
The given parameters are:
[tex]P =25000[/tex] -- the principal amount
[tex]R = 4\%[/tex] -- the interest rate
[tex]T=1[/tex] --- the duration
The amount to pay back in this duration is then calculated using:
[tex]A = P(1 + RT)[/tex]
So, we have:
[tex]A = 25000(1 + 4\% \times 1)[/tex]
[tex]A = 25000(1 + 4\% )[/tex]
Express percentage as decimal
[tex]A = 25000(1 + 0.04)[/tex]
[tex]A = 25000(1 .04)\\[/tex]
Multiply
[tex]A = 26000[/tex]
Hence, the amount to pay back is $26000.00
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what is the answer of solve the following equations and verify your answer
Answer:
Solution !![tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]
By cross multiplication :
[tex] \implies{\sf{ {3(p + 7)} = 1{(p - 6)} }}[/tex]
[tex]\implies{\sf{3p + 27 = p - 6 }}[/tex]
[tex]\implies{\sf{3p - p = - 6 - 21}}[/tex]
[tex]\implies{\sf{2p = - 27}}[/tex]
[tex]\implies{\sf{\underline{\underline{\red{p = \dfrac{ - 27}{2}}}}}}[/tex]
Hence, the value of p is -27/2
[tex]\begin{gathered}\end{gathered}[/tex]
Verification !![tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]
Substituting the value of (p = -27/2)
[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27}{2} + 7}{ \dfrac{ - 27}{2} - 6} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27 + 14}{2}}{ \dfrac{ - 27 - 12}{2} } = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ \dfrac{ - 13}{2}}{ \dfrac{ - 39}{2} } = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ - 13}{2} \times \dfrac{2}{ - 39} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ - 13}{\cancel{2}} \times \dfrac{\cancel{2}}{ - 39} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{ - 13}{ - 39} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \cancel{\dfrac{ - 13}{ - 39}} = \dfrac{1}{3}}}[/tex]
[tex] \implies{\sf{ \dfrac{1}{3} = \dfrac{1}{3}}}[/tex]
[tex]\implies{\sf{\underline{\underline{\red{LHS = RHS}}}}}[/tex]
Hence Verified!
[tex]\underline{\rule{220pt}{3pt}}[/tex]
suppose You earn Birr 10,000.00 per month and pay 20% tax and spend 60% of it. Again the recipient of the money spent by you pays 20% tax and spends 60% of it. If this process continues without end, find the total amount that wil be paid for the tax
Answer:
Birr 5000
Step-by-step explanation:
You will pay 10,000×20% = 2000 in tax. Recipients of your spending will pay ...
0.60×10,000×20% = 1200
Recipients of the spending at the next level will pay a tax of ...
0.60×0.60×10,000×20% = 720
That is, the tax amounts have an initial value (a1) of 2000 and a common ratio (r) of 0.60. Their total is given by the formula ...
sum = a1/(1 -r)
sum = 2000/(1 -0.6) = 5000
Birr 5000 will be the total amount paid for tax in this process.
4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)
1.
Oliver owes his sister $27.
2.
A building is 38 feet tall.
3.
Erica jumped 2.7 feet above ground.
4.
The scuba diver was 38 feet below sea level.
5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7
The statements with their relation to 0 are:
Oliver owes his sister $27. [tex]\to[/tex] -27 A building is 38 feet tall. [tex]\to[/tex] 27 Erica jumped 2.7 feet above ground. [tex]\to[/tex] 2.7 The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3Statements that represent positions above the sea level are illustrated using the positive sign, while positions below the sea level are represented using the negative sign.
The above highlights imply that the following statements would be represented with positive sign:
A building is 38 feet tall.Erica jumped 2.7 feet above ground.This is so, because height and positions above the ground are above the sea level
Also, the following statements would be represented with negative sign:
Oliver owes his sister $27. [tex]\to[/tex] -27 The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3This is so, because debt and positions below the ground are below the sea level
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please help ill mark brainliest
Answer:
it's 11
Step-by-step explanation:
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Step-by-step explanation:
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
A test has twenty questions worth 100 points. The test consists True/False questions worth 3 points each and multiple choice questions worth 11 points each. Howmany multiple choice questions are on the test?
Multiple choice questions = 5
True questions = 15
Given that:
Total number of questions = 20
Total worth of point = 100
Multiple choice questions (M) = 11 points each
True false questions (T) = 3 points each
Hence,
M + T= 20 ____(1)
11M + 3T = 100 ____(2)
M = 20 – T
Using the relation in (2)
11(20 – T) + 3T= 100
220 – 11T + 3T= 100
220 – 8T = 100
-8Tf = 100 – 220
-8T = – 120
T = 120/8
T = 15
Mc = 20 – 15
Mc = 5
Multiple choice questions = 5
True false questions = 15
Can someone help me with this
Hello! Please mark Brainliest for the explanation!
Answer:
Area: 10 inches
Step-by-step explanation:
As the paper itself states, the area of a triangle would be
1/2bh
Simply plug the given values in!
1/2(5)(4) =
1/2(20)=
10
Have a wonderful day!
Answer:
Area = 10 units
Skills needed: Triangle Theory, Substitution of Values
Step-by-step explanation:
1) We are given that the formula to finding the area of the triangle is [tex]\frac{1}{2}bh[/tex].... this essentially means that it is: [tex]\frac{1}{2}[/tex] times base (b) times height (h)
2) We can then use substitution to solve this. IN the diagram shown there, 4 is the base, and the height is 5 (since b = base, and h = height).
Area is [tex]\frac{1}{2} * b * h[/tex] in general (the * means multiplication)
Substitute in the values and it is: [tex]\frac{1}{2} * 4 * 5[/tex]
--> [tex]4*5=20[/tex]
--> [tex]\frac{1}{2} * 4*5 = \frac{1}{2} * 20 = 10[/tex]
1/2 of 20 is ten, so that is how we arrive at that final answer.
Hope you understand, have a great day :)
please get this done asap
Answer:
1)2 2)2y=4 y=2 x=1
Step-by-step explanation:
A scale drawing for a backyard is shown below.
In the drawing, 1 cm represents 4 m.
Assuming the patio is rectangular, find the area of the real patio.
-6 cm
-3 cm-
Patio
2 cm
Lawn
2 cm
Answer:
The area of real patio is 50m².
Step-by-step explanation:
Given,
Length of patio = 3 cm
Width of patio = 6 cm
According to scale =
3 cm = 5m
1 cm = \frac{5}{3}\ m35 m
6 cm = \frac{5}{3}*6 = 10\ m35∗6=10 m
Real length of patio = 5 m
Real width of patio = 10 m
Area = Length*width
\begin{gathered}Area=5*10\\Area=50\ m^2\end{gathered}
Area=5∗10Area=50 m2
The area of real patio is 50m².
At the start of summer break, Jada decided to save some of the money she earned helping out her
neighbors to use during the school year. Jade starts by putting $20 into a savings jar in her room
and plans to save $10 a week.
a.
What is the total amount Jada will have saved after 1 week?
Answer:
$90
Step-by-step explanation:
1 week=7 days
(7*10)+20=90
Pls answer correctly thnks
Solve the linear equation by elimination:
-5x+3y=10
2x+5y=-35
And explain
Thanks!
[tex]-5x+3y = 10~~~~ .....(i)\\\\2x+5y =-35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 35~ \text{ and do (ii) -(i)}\\\\\\\dfrac 35(2x+5y) - (-5x+3y) = \dfrac 35}(-35) - 10\\\\\implies \dfrac{6x}5 +3y + 5x -3y = -21-10 = -31\\\\\implies \dfrac{6x + 25x}5 = -31\\\\\implies 31x = -31 \times 5\\\\\implies x = -5\\\\\text{Substitute }~x=-5~ \text{in equation (ii):}\\\\2(-5) +5y =-35\\\\\implies -10 +5y = -35\\\\\implies 5y = -35 +10 = -25\\\\\implies y = - \dfrac{25}5 = -5[/tex]
[tex]\text{Hence,}~ \textbf{(x,y) = (-5, -5)}[/tex]
THE LENTH OF A RECTANGLE IS 6 CM AND ITS AREA IS (6XPLUS18) SQUARCM WRITE A EXPPRESIONFOR THE WIDTH
[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]
PHOTO ATTACHED PLESE HELPPPP!!!!!!!!!!!!!!
Answer:
[tex]5x^2 + 3x - 2[/tex]
This answer is correct because I simplified using like terms.
Step-by-step explanation:
Subtracting Polynomials
They key to subtract, multiply, add, and divide polynomials is by using like terms. Like terms are values with the same bases. For example :
[tex]ax^2[/tex] and [tex]2ax^2[/tex] are like terms because they have the base [tex]ax[/tex]
Step 1: Move like terms together
First, let's remove all parenthesis:
[tex](3x^2 + 9x-6)-(2x^2-4x^2+6x-4)\\\\= 3x^2+9x-6-2x^2+4x^2-6x+4[/tex]
Now let's move all like terms together:
[tex]3x^2+9x-6-2x^2+4x^2-6x+4= \\3x^2-2x^2+4x^2+9x-6x-6+4[/tex]
Step 2: Simplify
Now we can add and subtract the like terms like we do in any other problem
[tex]3x^2-2x^2+4x^2+9x-6x-6+4 = \\5x^2+3x-2[/tex]
Step 3: Explaining your answer
Just say: "This answer is correct because I simplified using like terms"
-Chetan K
Which is NOT true?
7 + 7 = 19 - 5
9 + 9 = 11 + 7
19 = 13 + 5
20 - 12 = 4 + 4
Answer:
c.19 = 13 + 5
Step-by-step explanation:
Write each verbal expression as an algebraic expression.
The product of a number, b, and nine =
A number, x, raised to the fifth power =
Twelve divided by the product of number, y, and three =
Seven added to the difference of one and a number, k =
A grocery store sells a bag of 6 oranges for $4.38. What is the unit cost?
Answer:
$0.73
Step-by-step explanation:
Unit cost means per cost. Hence, divide 4.38 by 6 to find the cost of 1 orange.
4.38 ÷ 6
[tex]=\frac{4.38}{6}[/tex]
= 0.73
Therefore, the unit cost is 0.73 dollars.
12 - 33/4 equal in fraction form?
Answer:
The answer is 3 3/4 I think
Step-by-step explanation:
The dot product of u ∙ u = 45 what is the length of u?
Answer:
67 hah why you solve this
[tex]\textbf{u} \cdot \textbf{u} = 45\\\\\implies |\textbf{u}|^2 =45\\\\\implies |\textbf{u}| = 3\sqrt{5}[/tex]
Which of the tables represents a function? (1 point)
Table A
Table B
Table C
Table D
Input Output Input Output Input Output Input Output
4 2
5 9
4 3
4 7
9 2
9 3
7 9
4 3
6 5
2 7
8 7
6 5
8 5
Answer
in think it's (C)
Step-by-step explanation:
which erosional force acts alone to produce avalanches and landslides?
Answer:
Freeze thaw cycle
Step-by-step explanation:
The force which produce avalanches and landslides is gravity.
What is erosion?The process by which the Earth's surface is worn down is called erosion. Erosion and weathering are two distinct but related processes. The decomposition of materials through chemical or physical processes is known as weathering. When weathered materials like soil and rock fragments are carried away by wind, water, or ice, erosion occurs.
The Earth's three substances—air, water, and ice—continue to flow in large quantities from one location to another, making erosion an essential component of human life. The energy in their flow is extremely high. All of the small and large substances in their path break and move in the flow's direction.
The most dramatic, unexpected, and hazardous examples of earth elements being pushed by gravity are landslides and avalanches. Avalanches are abrupt snowfalls, whereas landslides are sudden rockfalls.
Massive chunks of rock move swiftly and violently when they abruptly break free from a cliff or hillside. The falling rocks are kept from slowing down by air that is trapped beneath them. Avalanches and landslides can travel at speeds of 200 to 300 km/h.
Prevention's,
Be mindful of your surroundings and keep an eye out for changes in the environment.
When it rains heavily, keep an eye out for deck or patio tilting, cracks or bulges in slopes, and drooping posts or fences. As soil steadily presses against a house and shifts windows and doors out of place, sticking windows and doors can be an indication of earth movement.
Because landslides are more likely to occur where they have already happened, look for landslide scars.
Hence, Earth materials are transported by gravity from higher elevations to lower heights. Examples of hazardous gravity-driven erosion include mudflows, avalanches, and landslides.
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Malia bought shell beads and glass beads to weave into designs in her baskets. She bought 1/4 pound of shell beads and 3/8 pound of glass beads. How many pounds of beads did she buy?
Answer: 5/8
Step-by-step explanation:
To do this you have to add the weight of each purchase
[tex]\frac{1}{4} +\frac{3}{8}[/tex]
But in order to add them together, there has to be a common denominator.
In order to do this, you can multiply both the numerator and denominator of 1/4 by 2 to get a denominator of 8 as seen below:
[tex]\frac{1}{4}*\frac{2}{2} = \frac{2}{8}[/tex]
Now you can add them to get your final answer: When you are adding fractions with common denominators, simply add the numerators together and keep the denominator.
[tex]\frac{2}{8}+\frac{3}{8} = \frac{5}{8}[/tex]
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
[tex]\displaystyle m = \frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points from given graph.
Point (0, -1)
Point (-3, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{0 - -1}{-3 - 0}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{1}{-3}[/tex]Hello, can you help me? I don't speak English, I speak Spanish and I don't understand anything. I use a translator to communicate, I give brainliest !!
Easy question about multiplication? unsure why not getting full marks
WILL GIVE BRAINLYIEST Rita goes to the mall. If x is the number of items she bought, the expression 18.54x+23 gives the amount she spent in dollars at one store. Then she spent 25 dollars at another store. Find the expression which represents the amount Rita spent at the mall. Then estimate how much Rita spent if she bought 2 items.
I only know the first part (the expression which represents the amount Rita spent at the mall)
18.54x + 48
Does anyone have the answers to Basic derivative rules: table on khan academy?
Answer:
The following table lists the value of functions ggg and hhh, and of their derivatives, g'g
′
g, prime and h'h
′
h, prime, for x=3x=3x, equals, 3.
xxx g(x)g(x)g, left parenthesis, x, right parenthesis h(x)h(x)h, left parenthesis, x, right parenthesis g'(x)g
′
(x)g, prime, left parenthesis, x, right parenthesis h'(x)h
′
(x)h, prime, left parenthesis, x, right parenthesis
333 ~~9 9space, space, 9 ~~~0 0space, space, space, 0 -15−15minus, 15 ~~~6 6space, space, space, 6
Let function GGG be defined as G(x)=2g(x)-h(x)+8G(x)=2g(x)−h(x)+8G, left parenthesis, x, right parenthesis, equals, 2, g, left parenthesis, x, right parenthesis, minus, h, left parenthesis, x, right parenthesis, plus, 8.
G'(3)=G
′
(3)=G, prime, left parenthesis, 3, right parenthesis, equals
Step-by-step explanation:
Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = 1 to x = 3
Answer:
c
Step-by-step explanation:
Relative Maxima means "a point that is higher than the points directly beside it on both sides", or when looking at derivatives, when the derivative of a function changes from above zero to below zero. If you're looking at a graph, all you have to do is find those points that seem to be poking out of the graph, aka c, when x=2.
Also look at the interval - (1,3), so... really, just by that, c would be your answer
ME: Honesty Armani wade
1. The owner of a flower shop sells 18 roses for $90. What is the cost in dollars per rose? Show
or explain how you know.
Answer:
The roses are sold individualy for $5.00.
Step-by-step explanation:
To find the answer, you divide 90 (the total amount) by 18 (the number of roses). Because we are doing division, you forget about the dollar sign (for now) and do the division. 90➗18=5. Since it is money, it would be $5.00
Suppose you are the 120th person in line at airport security. In 75 sec, 5 people are able to pass through security. Assuming this rate stays the same, how long (in minutes) will you be waiting in the security line? It takes 15 min to walk from security to the gate for your flight. If the flight stops boarding in 60 min, will you arrive at the gate in time?
Answer:
It takes 30 minutes to get to the front of the line, and 15 minutes to walk, so 45 minutes. 45 is less than 60, so you will make it.
Step-by-step explanation:
To calculate unit rate, 75/5 = 15/1 120*15=1800/60=30 minutes
(divide by 60 to convert to minutes)
(y+3):(y+5)=k:1
show that y=(5k-3)/(1-k)
hence y=(5k-2)/(1-k)
hi,
Express the ratios in fractional form, that is
= ( cross- multiply )
y + 3 = k(y + 5) ← distribute
y + 3 = ky + 5k ( subtract ky from both sides )
y - ky + 3 = 5k ( subtract 3 from both sides )
y - ky = 5k - 3 ← factor out y from each term on the left side
y(1 - k) = 5k - 3 ← divide both sides by (1 - k)
y = 5k- 3
____
1 - k