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Ber [7]
3 years ago
15

The scale for a map is 20 miles = 1/2 inch. The distance between two towns on the map is 3 3/4 inches. What is the actual distan

ce between these towns?
Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

Answer:

150 miles

Step-by-step explanation:

If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.

Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.

3*2=6

20*6=120

Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.

10*3=30

120+30=150

The actual distance is 150 miles.

Hope this helps!

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Find the maturity value of a loan of $2500 at simple interest that is to be repaid in 8 months. The interest rate is 4. 3%. A) $
Oksanka [162]

The maturity value of a loan of $2500 at the simple interest rate of 4.3% that is needed to be repaid in 8 months is $2607.50.

<h3>What is simple interest?</h3>

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = \dfrac{P\times R\times T}{100}

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

As it is given the principal amount of the loan is $2500, while the interest rate is 4.3%, therefore, after a period the interest on the loan will be,

SI = \dfrac{P\times R\times T}{100}\\\\SI = \dfrac{2500 \times 4.3 \times 1}{100}\\\\SI =107.5

Thus, the interest amount on the loan of $2500, is $107.5.

Now, in order to find the value of the loan we need to add the interest and the principal amount of the loan together. Therefore, the value of the loan can be written as,

The value of the loan = Principal Amount + Interest rate

                                    = $2500 + $107.5

                                    = $2607.50

Hence, the maturity value of a loan of $2500 at the simple interest rate of 4.3% that is needed to be repaid in 8 months is $2607.50.

Learn more about Simple Interest:

brainly.com/question/2793278

8 0
2 years ago
A quarterback throws a football to a teammate. The football is 6.5ft above the ground when it leaves the quarterback's hand. His
Nuetrik [128]

Answer: v= 56 ft per second


Step-by-step explanation:

Given: A quarterback throws a football to a teammate.

Projectile motion formula is given by :-

h(t)=-16t^2+vt+h_0, where h_0=6.5

Now, to find  v at h=5 and t=3.5, substitute these values in the above equations, we get

5=-16(3.5)^2+v(3.5)+6.5\\\Rightarrow5=-16(12.25)+3.5v+6.5\\\Rightarrow5=-196+6.5+3.5v\\\Rightarrow\ 5=-189.5+3.5v\\\Rightarrow\ 3.5v=5+189.5\\\Rightarrow\ 3.5v=194.5\\\Rightarrow\ v=55.57142\approx56



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3 years ago
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The area of a rectangle is 32 inches squared. If the length is 8 inches, what is the *perimeter* of the rectangle?
SOVA2 [1]

Answer:

Step-by-step explanation:

w (width) = 32/8

w = 4

p (perimeter) = 2w + 2l

p = (2 x 4) + (2 x 8)

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p = 24

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