MATHEMATICS HIGH SCHOOL

Suppose you'd like to see if I have money to pay cash for the next year. The goal is to save an extra $26,000 over the next six years. What amount of quarterly payments must you make it into an account that earns 5.5% interest in order to reach your goal?

Answers

Answer 1
Answer:

Answer:

Amount he must save to earn his goal = $7193.1≅

Step-by-step explanation:

The 5.5% interest is compounded quarterly, hence the compound interest expression is used

A = P(1+r%)ⁿ

A = $26000

P = ?

r = 5.5%

n = 4 x 6 = 24 quarters

P = A ÷ (1+r%)ⁿ = 26000 ÷ (1 + 0.055)²⁴ = 7193.070497956 = $7193.1≅

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There are 49,000 seats in a sports stadium. Tickets for the seats in the upper level sell for $25, the ones in the middle level cost $30 and the ones in the lower level are $35 each. The number of seats in the middle and bottom levels together equal the number of seats in the upper level. When all of the seats are sold for an event, the total revenue is $1,419,500. How many seats have been sold in the upper level?

Answers

u- amount of upper level tickets which cost 25$
m-amount of middle level tickets which cost 30$
b-amount of bottom level tickets which cost 35$

m+b=u and
m+b+u=49000 and
25u+30m+35b=1419500

putting u from first equation to the second
2u=49000
u=24500 - seats in upper level
m+b=24500 so m=24500-b
25*24500+30(24500-b)+35b=1419500
612500+735000-30b+35b=1419500
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Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when necessary.

Answers

To get the perimeter of the quadrilateral, the distance formula can be used. We simply have to subtract the y coordinate of one point to another and the same for the x coordinate. The square root of the sum of the squares of the difference is the distance.The results can then be added to get the perimeter. So,
CF = sqrt ( (2-(-1))^2 + (-1-(-2))^2 ) = sqrt(10)
FE = sqrt ( (-2-1)^2 + (2-1)^2 ) = sqrt(10)
ED = sqrt ( (-1-(-2))^2 + (-2-2)^2 ) = sqrt(17)
DC = sqrt ( (2-(-1)^2 + (-1-(-2))^2 ) = sqrt(10)

P = CF + FE + ED + DC = sqrt(10) + sqrt(10) + sqrt(17) + sqrt(10) = 13.61

Answer: The answer is 12.68 units.

Step-by-step explanation:

How can you use addition and subtract to put together and separate measures of an angle and its parts

Answers

How can you use addition and subtract to put together and separate measures of an angle and its parts

Adding and Subtracting angles can be put this way.
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Supplementary angles can be formed by two angles with total of 180 degrees.

X + Y = 90 degrees
Y = 90 - X
X = 90 - Y

X + Y = 180 degrees
Y = 180 - X
X = 180 - Y

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B. 12,900

C. 12,863.15

D. 12,800

Answers

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So here, the hundredth digit is 4 and next digit is 8, so we round the hundredth up to 5 and we are left with 12,863.15 (C)

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Answers

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