Answer:
$1400
Step-by-step explanation:
The Fresh and Green Company has a savings plan for employees. If an employee makes an initial deposit of $1000, the company pays 8% interest compounded quarterly. If an employee withdraws the money after five years, how much is in the account?
First you need to make 8% into a decimal.
To do that you need to move the decimal point to spaces to the left.
8. ----- 0.8 ----- 0.08
The decimal is 0.08.
Now multiply $1000 by 0.08.
Which is $80.
Now do $80 times 5 years.
which is $400 interest.
Now add $400 to $1000.
Which is $1400.
What are the roots of the equation x^2+18x+90=0x
2
+18x+90=0 in simplest a+bia+bi form?
[tex]x^2 +18x +90 = 0\\\\\text{Apply quadratic formula,}~~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a} \\\\\text{In this case, a = 1 , b = 18 and c = 90.}\\\\\implies x = \dfrac{-18 \pm \sqrt{18^2 - 4 \cdot 1 \cdot 90}}{2(1)}\\\\\implies x = \dfrac{-18 \pm \sqrt{-36}}2\\\\\implies x = \dfrac{-18 \pm 6i}2\\\\\implies x= -\dfrac{18}2 \pm \dfrac{6i}2\\\\\implies x= -9 \pm 3i[/tex]
Select the expressions that represent the same quantity as 3(n + 4). 3 correct answers pls help
Answer:
3n + 12
n + n + n + 4 + 4 + 4
(n+4) + (n+4) + (n+4)
Step-by-step explanation:
Simplify 3(n+4).
3 x n = 3n
3 x 4 = 12
3n + 12
Expand.
3(n+4)
3 x n = n + n + n
3 x 4= 4 + 4 +4
And
3(n+4)
= 3 x (n+4) is equal to (n+4) +(n+4)+(n+4)
Guys help me on this one please…
Answer: 6. 35 hours
7. 741 Miles
8. 1.5 or 1.54
Step-by-step explanation:
6. 142.20/6=23.7
829.50/23.7=35
7. 117/3=39
39x19=741
8.19/12.35=1.538
For the expression:
(9x^2 + 4y^2 -12xy) / (4y^2 - 9x^2)
Find the domain
Answer:
Interval Notation (-∞, ∞)
Set-Builder Notation: {x|x ∈ R} (all real numbers = R)
Step-by-step explanation:
I plugged this into a graphing calculator and was able to find the domains by looking at where the lines stopped (they didn't stop) and wrote the f(x) based off of it
Expand ; 3(1-x/2)^2
Answer:
[tex]3 {( \frac{1 - x}{2}) }^{2} = 3 \times {(1 - x)}^{2} \div {2}^{2} \\ =3 \times (1 - 2 \times 1 \times x + {x}^{2}) \div 4 \\ = 3 \times (1 - 2x + {x}^{2} ) \div 4 \\ = \frac{3}{4} (1 - 2x + {x}^{2})[/tex]
[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]
In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3x to obtain the graph of f(x) = 3-x + 1 - 5.
Answer:
Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x) is called the logarithmic function with base a .
When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.
It is shifted 2 units vertical.(2 units down).
Answer:
Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x) is called the logarithmic function with base a .
When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.
It is shifted 2 units vertical.(2 units down).
Step-by-step explanation:
If y = 6, what is the value of x given 8x + 5y = 62?
Answer:
Answer:
2sqearhahah joke bye hahah
the answer: y = 6 ⇔ x = 4
ok done. Thank to me :>
Someone help me click this solve it using < or >
Answer:
<
<
>
Step-by-step explanation:
To compare fractions, we need to make sure that both fractions have the same denominator. For example, for question 4, the least common multiple of 5 and 3 is 15, so we need to multiply both fractions by some numbers to get the denominators equal to 15. In this case, we will multiply the first fraction, [tex]\frac{3}{5}[/tex] by 3 to get [tex]\frac{9}{15}[/tex] and the second fraction, [tex]\frac{3}{3}[/tex] by 5 to get [tex]\frac{15}{15}[/tex].
Once we have the same denominator, we can simply compare the value of the numerators and see which one is larger. For question 4, since 9 is smaller than 15, the first fraction is smaller than the second. So the correct inequality to represent this would be "<".
To do these sums, we have to first convert them to like fractions.
For the first one:
LCM of denominators 5 and 3 is 15.[tex] \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} [/tex][tex] \frac{3}{3} = \frac{3 \times 5}{3 \times 5} = \frac{15}{15} [/tex]Since,[tex] \frac{9}{15} < \frac{15}{15} [/tex]Therefore,[tex] \frac{3}{5} < \frac{3}{3} [/tex]For the second sum:
LCM of denominators 6 and 8 is 24.[tex] \frac{4}{6} = \frac{4 \times 4}{6 \times 4} = \frac{16}{24} [/tex][tex] \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} [/tex]Since[tex] \frac{16}{24} < \frac{21}{24} [/tex]Therefore,[tex] \frac{4}{6} < \frac{7}{8} [/tex]For the third one:
LCM of denominators 10 and 5 is 10.[tex] \frac{6}{10} = \frac{6 \times 1}{10 \times 1} = \frac{6}{10} [/tex][tex] \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} [/tex]Since,[tex] \frac{6}{10} > \frac{4}{10} [/tex]Therefore,[tex] \frac{6}{10} > \frac{2}{5} [/tex]Hope you could get an idea from here.
Doubt clarification - use comment section.
Please help. Due in 30 mins!!
1: 1.645
2. 1.28
4: 95% confidence level (12.93, 13.87)
3: No Idea
5: sorry im a bit rusty
Im so sorry for not answering all you questions
HELP!!!
graph and label the following real numbers on the number line:
Answer:i dont know yet
Step-by-step explanation:
(4.03 MC) the table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal / number of cup of raisins
8 4
10 5
12 6
8 : 2
8+ 4 = 12 2 + 1 = 3
12 : 3
12 + 4 = 16 3 + 1 = 4
16 : 4
16 + 4 = 20 4 + 1 = 5
20 : 5
20 + 4 = 24 5 + 1 = 6
24 : 6
24 + 4 = 28 6 + 1 = 7
28 : 7
28 + 4 = 32 7 + 1 = 8
32 : 8
32 + 4 = 36 8 + 1 = 9
36 : 9
36 + 4 = 40 9 + 1 = 10
40 : 10
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer: If the number of cups of cereal is 40, then the number of cups of raisins will be 10.
Have a great day/night! :D
Help help help help help help help MATH MATH
Answer:
60
Step-by-step explanation:
100 drops of water weigh 9 grams so how many tons do 100 million drops of water weigh
Answer:
100 drops of water weigh about 9 grams. So how many tons do 100 million drops of water weigh?
Step-by-step explanation:
please mark my answer in brainlist plz
what’s the domain and range of this graph ? PLEASE HELP URGENT
Step-by-step explanation:
Domain -5 range 5 ,...............
Calvin and Sanjay are each thinking of a number. If you multiply Sanjay’s number by 3 and subtract
2, you get Calvin’s number. If you take half of Calvin’s number and then subtract 2, you get Sanjay’s
number. What number is each thinking of?
Answer:
Calvin's number: 16 Sanjay's number: 6
Step-by-step explanation:
6 x 3 = 18, 18 - 2 = 16
16 / 2 = 8, 8 - 2 = 6
This is Comparing Quantities
3 days to 40 hours
pls help me
Answer:
1 days= 24 hrs
3 days = 3×1 days
= 3×24 hrs
= 72 hrs
PLEASE HELP I WILL MARK BRAINLIST
What is the polynomial function in standard form with zeros -10,0,2?
a) x^3 + 8x^2 + 20x
b) x^3 + 8x^2 - 20x
c) x^2 +8x -20
d) x^2 + 8x + 20
Answer:
x³ - 8x² - 20x
Step-by-step explanation:
Zeroes: 10, 0, -2
Factors are: (x - 10), (x - 0), (x + 2)
Multiply all factors to get expression:
(x - 10)x(x + 2) = x(x - 10)(x + 2)
= x(x² - 10x + 2x - 20)
= x(x² - 8x - 20)
= x³ - 8x² - 20x
solve for g. bf-5k=c(g+2k)
Answer:
hope it helps.
stay safe healthy and happy.
Answer:
In bold below.
Step-by-step explanation:
bf-5k=c(g+2k)
g + 2k = (bf - 5k)/c
g = (bf - 5k)/c - 2k
A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?
Answer:
A ball is thrown vertically upward with a speed of 25.0 m/s
Ms.Thomas ordered 5 pencil packs, n notebooks, and 5 sets of makers. Write an algebraic expression that represents the cost of Ms.Thomas’s order
45% of the people in the stadium are men, 23% of them are woman and the rest are children. What fraction of the people are children?
Answer:
8/25 of the people in the stadium are children.
Step-by-step explanation:
45 + 23 = 68
100 - 68 = 32%
32/100 simplified is 8/25
finding the missing number 2 4 6 __ 10 12
Answer:
8 because the pattern goes up by 2 each time
Answer:
8
Step-by-step explanation:
If a square has an area of 49 ft', what is the length of one of its sides? The perimeter?
Answer: 12.25 ( each side )
Step-by-step explanation
Divide 49 by 4, which is 12.25
What three fractions are greater then 1/2 but less then 1
Answer:
5/8
6/7
2/3
Step-by-step explanation:
If y ∝ 1∕x and y = –2 when x = 14, find the equation that connects x and y.
A) y = –28x
B) y = –7x
C) y = –28∕x
D) y = –7∕x
Answer:
C
Step-by-step explanation:
Given y ∝ [tex]\frac{1}{x}[/tex] then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = - 2 when x = 14 , then
- 2 = [tex]\frac{k}{14}[/tex] ( multiply both sides by 14 )
- 28 = k
y = - [tex]\frac{28}{x}[/tex] ← equation of variation
Graph (y=-2x+5)
Plz have it answered in 5 min.
It is on Khan Academy
Answer:
eeeeee
Step-by-step explanation:
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Huilans age is two times Thomas’s age. The sum of their ages is 42. What is Thomas’s age?
Answer:
14
Step-by-step explanation:
14+28=42, 28/14=2
HELP ME OUT PLEASE!!!
What is the equation of this line?
Answer: THe Second answer is the correct one
Step-by-step explanation:
Answer:
y = 3x-2
Step-by-step explanation:
PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 3
Problem 1
Answer: Choice A[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]
---------------------------
Explanation:
The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.
a = first term = 59,000 = starting salaryr = common ratio = 1.08 = tells us how the salary increases year to yearThe 1.08 represents an increase of 8% because,
1.08 = 1 + 0.08 = 100% + 8% = 108%
=======================================================
Problem 2
Answer: Choice C[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]
---------------------------
Explanation:
The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.
=======================================================
Problem 3
Answer: Choice C30 feet; major axis
---------------------------
Explanation:
Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.
Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.
Do it on a piece of paper and put it in the answer box ASAP
Step-by-step explanation:
absolutely. there is no mathematical problem to solve.
just do what the instructions tell you.
that is an exercise for you to get a feeling what is what.