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4 years ago

6

you invest $1,500 today in a bank that gives you a 5 percent annual interest rate, which of these items can you buy in two years

?

1 answer:

Sladkaya [172]4 years ago

8 0

1500 (1+5%)^2 = $1653.75

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A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

3 years ago

19. Mr. Johnson owns a restaurant. On Monday morning, his restaurant has 80 steaks in the walk-in cooler. Each day 7 customers o

mixer [17]

The answer is C because you start out with 80 steaks and as you go through the days, subtract 7 each time.

3 0

4 years ago

Read 2 more answers

Find the derivative with respect to x of the integral from 2 to x cubed of the natural log of x squared, dx.

mote1985 [20]

Answer:

3x²×logx⁶

Check the photo below for the details.

:)

8 0

3 years ago

A student spends the same amount each week for bus fare in 5 weeks he spends 115 which equation shows his relationship let's= nu

Damm [24]

Let c represent the cost of bus fare per week

5c = $115

c = $25

The student spends $25 per week for bus fare so the rate is $25

The equation to determine the total cost for "x" number of weeks is:

y = $25x

4 0

3 years ago

The average temperature for a country during September 2013 was 65.2 degrees Fahrenheit. This is 4.6 degrees Fahrenheit above th

grin007 [14]

Answer:

60.6 degrees

Step-by-step explanation:

65.2 (average for sep 2013)-4.6=60.6

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3 years ago