Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?
Answer:
V=lbh=2.4×3×6=43.2cm^3
We are given a candy batband we are given its dimensions
height = 2.4cmwidth= 3cmlength= 6cmTO FINDWe need to find it's volume
Volume of a cuboid is given by l×b×h
SOLUTIONVolume = length × breadth × height
Volume = 2.4 × 3 ×6
Volume = 43.2 cm^3Factor completely
16x^2y^4z^3+33xy^8z^5
Answer:
xy^4 z^3 ( 16x + 33y^4 z^2)
Step-by-step explanation:
step 1 : see what variable you can take out , start with x see if there is x in the left and right side. and how many time you can take it out
next y same thing and then last z
with x = left side you x^2 and right side you have x = so u can take x out once left you with x
with y = left side y^4 and right side y^8 so you can take out y ^4 out left you with y^4
with z = left side z^3 and right side z ^5 you can take out z^3 left you with z^2
How would you describe slope 0/-5? Brainliest for best answer!!!
A. positive
B. negative
C. 0
D. does not exist.
There are 68 marbles in a bin and 50% of the marbles are red.
How many red marbles are the bin?
There are
red marbles in the bin. .
Answer:
34 because 50 percent of 68 is 34
Answer:
There are 34 red marbles in the bin
Step-by-step explanation:
50% is basically 1/2. So half of 68 is 34.
Plz Help I will give Brainliest
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 8.6 Ft^2
Explanation:
First find the area of the WHOLE square in FEET
2.5 x 4.5 = 11.25 ft
Then we need to find the area of the circle
r = radius
The formula is A = 3.14r^2
The radius is .9166, we can tell because the total distance from top to bottom is 22in meaning 1.83333 ft, meaning the diameter is 1.8333, then to get the radius we cut that in half.
A = 3.14(.9166^2
A = 2.64 Ft
Now we need to find the new total area
11.25 - 2.64 = 8.61 in ^2
Now we need to convert it to the nearest tenth of a square foot
8.6 Ft^2
I hope this helped !
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- Zack Slocum
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i need help with this question
Answer:
(C). [tex]\frac{22\pi }{3}[/tex] yd.
Step-by-step explanation:
what do u do when your teacher comments this in a assighnment?."I can't accept this. It is clear that you copied and pasted from the internet. I will give you another chance to do it correctly - using your own thoughts, not the internet." T_T my teacher found out ......:((
Answer:
Deny. Deny. Deny.
Step-by-step explanation:
Say how crazy the similarities are but you genuinely wrote what came to mind and you did not even look up the topic online. If that fails just grovel and come up with a sob story so they are no so harsh. Hope this helps <3
what is equvalint to 1/2a-4
Paul had 3.8 pounds of bananas and 2.1 pounds of apples. About how much fruit does he have in all?
Answer:
5.9 pounds
Step-by-step explanation:
3.8 + 2.1 = 5.9
if PQ and PR are tangent to circle S,find PQ
Answer:
From one point, you can draw two tangents to a circle. These two tangents will be equal.
Step-by-step explanation:
7x - 24 = 57 - 2x.
Rearrange the numbers (by adding 2x and 24 on both sides), we get:
7x+2x = 57 + 24
9x = 81.
x = 9.
Length of PQ = 57-2x = 57 - 18 = 39
If PQ and PR are tangent to circle S, then the value of PQ is 39.
What is tangent?"A line that touches the circle at a single point is known as a tangent to a circle."
What is circle?"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."
P is the exterior point of a circle.
PQ and PR are the tangents to circle S.
According to theorem,
The lengths of the tangents drawn from a same external point to a circle are always equal.
7x - 24 = 57 - 2x
7x + 2x = 57 + 24
9x = 81
x = 9
PQ = 7x - 24
PQ = 7(9) - 24
PQ = 63 - 24
PQ = 39
Hence, the value of PQ is 39.
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Every year, a car loses 15% of the value it had the year before. If the car's initial value is $ 24,000, then how long will it take for the car to be worth half of its value?
Answer:
4.62 years
Step-by-step explanation:
Half the car's value =>$24,000/2 = $12,000
The formula for exponential decrease =
y = a(1 - r)^t
y = Initial value = $24,000
a = Value after time t = $12,000
r = Decrease rate = 15% = 0.15
t = time in years =??
Hence,
24,000 = 12000 ( 1 - 0.15)^t
Divide both sides by 12000
24000/12000 = 12000 ( 0.85)^t/ 12000
2 = 0.85^t
We take the logarithm of both sides
log 2 = log (0.85)^t
log 2 = t log 0.85
Divide both sides by log 0.85
t = log 2/log 0.85
t = 4.62098120373 years
Approximately = 4.62 years
It would take 4.62 years to be worth half the initial price
PLEASE ANSWER FAST AS POSSIBLE I HAVE 40 LESSONS DUE BY 12 PM :(
Answer: B
Step-by-step explanation: Skeletons serve as a scaffold which supports organs, anchors muscles, and protect organs such as, the brain, lung, heart, and spinal cord.
Someone pls help im new tysm if you do!
Answer:
-24 is your answer<3.....
the parenthess are just multiplication, so 6*-4 is -24
2. 3. Edward bikes the same route to and from school each day. After 28 school days, he bikes a total distance of 389.2 miles. a. Estimate how many miles he bikes in one day.
Answer:
Step-by-step explanation:
Estimate usually means "Don't use a calculator." An estimate would be 30 days and 390 miles. That makes 13 miles / day. I get the feeling that is not what is wanted.
miles / day = total distance / number of days
miles / day = 389.2 / 28
miles / day = 13.9 miles per day. I don't know which answer to use. I'd try this one first and then use the top one.
1÷1+cosa+1÷1_cos a please solve question
ok so THIS IS UR ANSWER I THINK PLEASE MAKE ME BRAINLIEST
36 is 18% of what number?
Answer: 200
Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200
Answer:
200
Step-by-step explanation:
:/
I hope
The area of a rectangle is x2 - 6x – 27 and the length is
X - 9. What is the width?
the width is x - 3
~iwa-chan
Suppose you want to put trim around the floor of a rectangular room.
The room is 7 by 11 feet. If a foot of trim costs $6, how much will the
trim cost altogether?
A pizza parlor is creating a questionnaire to survey customers about their satisfaction with the taste of their pizzas. Which questions would be considered good questions to include on the survey?
Answer:
On a scale of 1 to 10, how satisfied are you with the taste of our pizzas?
Would you recommend our pizzas to your friends and neighbors? Please answer either yes or no.
Step-by-step explanation:
Keith needs to build a bridge to go across a pond. He has been able to collect the following measurements. About how long does this bridge need to be
Answer:
[tex]\Huge\boxed{11.9}[/tex]
Step-by-step explanation:
Hello There!
Basic Concepts
Geometry
Once again we are going to need to use trigonometric ratios to solve for a missing side length (the length of the bridge)
Here are the trigonometric ratios
Sine - Opposite over Hypotenuse
Cosine - Adjacent over Hypotenuse
Tangent - Opposite over Adjacent
For the angle that has a measure of 50 degrees
we are given its adjacent side length and we need to find its opposite
When working with the opposite side length and adjacent side length we use the trigonometric ratio tangent
Knowing which trigonometric ratio we are going to use we have to create an equation
Remember tan = opposite over adjacent
So we plug in the given information and solve for the missing information ( In this case the opposite side length)
[tex]tan(50)=\frac{x}{10}[/tex]
Basic Algebra
Now we solve for x
Like always we want to isolate the variable
First we want to get rid of the 10
x is being divided by 10 and the inverse of division is multiplication
So we multiply each side by 10
[tex]tan50*10=10tan50\\\frac{x}{10} *10=x\\[/tex]
now we have
[tex]10tan50=x\\[/tex]
finally we plug in 10tan50 into a calculator to get the value of x
we get that x = 11.91753594
Our last step is to round to the nearest tenth
We can conclude that the answer is 11.9
The bridge needs to be 11.92 feet long by calculating the tangent of the given angle.
What is tangent of an angle?Tangent of an angle in a right-angled triangle is the ratio of the height to the base of the triangle.
Let, the bridge is x ft. long.
Therefore, tan 50° = [tex]\frac{x}{10}[/tex].
⇒ x = 10 × tan 50°
⇒ x = 10 × 1.192
⇒ x = 11.92
Therefore, the bridge is 11.92 ft. long.
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PLEASE HELP ASAP PLEASE
Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.
Answer:
A = -2
B = -8
Step-by-step explanation:
A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.
Then if we have the equations:
A*x- y = 8
2*x + y = B
We want to find A and B such that both equations are exactly the same thing.
Notice that in the first one we have negative y, while in the second we have positive y.
Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:
A = -2
And B needs to be minus the corresponding therm in the other equation, then B = -8.
Then the system becomes:
-2*x - y = 8
2*x + y = -8
We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:
y = -8 - 2*x
y = -8 - 2*x
So both equations are exactly the same thing, meaning that we have infinitely many solutions.
Total surface area??
Answer:
total area = 207 cm²
Step-by-step explanation:
base area = 9 x 9 = 81
side area = 1/2(9)(7) = 31.5 x 4 (for 4 sides) = 126
81 + 126 = 207 cm²
what is the measure of the complement of a 67 degree angle?
Answer:
23°
Step-by-step explanation:
Complement angles are two angles that add up to 90°.
Since we’re given that one of them is 67°, the other one must add up to 90°
90 - 67 = 23
The other angle is 23°
Answer:
the complement of 67° is the angle that when added to 67° forms when a right angle (90°)
Right answer gets brainlist
3 positive 1 positive
Step-by-step explanation:
D goes 3 units right and it get to 3 Positive and then two units down gets you to 3 Positive and 1 Positive 3,1
In the early 2016 there were about 80 devils living on Maria island.Of that total, 75% are offspring from the previous two breeding seasons. How many are offspring
Answer: 60 devils
Step-by-step explanation:
Question wants to know the number of offspring from the two previous breeding seasons.
There are 80 devils on the island. 75% of this 80 are from previous breeding seasons.
We need to find this 75% in whole numbers:
= Percentage of devils from previous seasons * Total number of devils
= 75% * 80 devils
= 60 devils
-0.6 ÷ 3/4
1. 0.8
2. -0.8
3. -0.15
4. 0.15
The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell the most tins. This box plot shows the results.
Popcorn tins sold
What fraction of the players sold between 8 and 16 popcorn tins?
Answer:
1/2 percent
Step-by-step explanation:
If you look at the box, the middle number is 12 or since its the middle "1/2"
so the fraction would be 1/2, hope this helped.
The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.
We have given that,
The players sold between 8 and 16 popcorn tins,
If you look at the box, the middle number is 12, or since it's the middle 1/2.
What is the fraction?
Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.
So the fraction would be 1/2, hope this helped.
The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.
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What is the median of the data set shown: 18,21,22,24,28,30,31,32,36,37
Answer: 27.9
Step-by-step explanation:
Add all the numbers together and divide it by how many number there is so
all the numbers added together is 279
there are 10 numbers there so you divide 279 by 10 and it gives you 27.9
What is the value of x in the figure? Enter your answer in the box.
Answer:
x = 65°
Step-by-step explanation:
these are vertical angles, which are congruent
145 = 2x + 15
130 = 2x
65 = x