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bija089 [108]
3 years ago
15

There were 140 geese living in Larson Lake last year. It is overpopulated. A scientist has suggested a program to decrease the p

opulation of geese by 15% after 5 years. How many geese does the scientist hope will be in the lake in 5 years? Show your work.
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0

Answer:

119

Step-by-step explanation:

Find 10% by dividing by 10, then halve it to get 5%. The answers are 14 and 7 accordingly.

Add them together to get 15%, which is now 21.

Take 21 off of 140 to get the answer, which is 119.

ALTERNATIVE METHOD - CALCULATOR

To solve the question using a calculator and with only one equation, multiply the number by 0.85 to find 85% of the number, and there's your answer.

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(x+7) (x-3) is the anwer

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3 years ago
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Joe is considering taking out along with the principal of $15,500 From one of two banks. Bank A charges and interest rate of 6%,
ki77a [65]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total cost of the loan at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount taken as loan.

Considering bank A's offer

From the information given,

P = $15500

r = 6% = 6/100 = 0.06

n = 12 because it was compounded 12 times in a year.

t = 8 years

Therefore,

A = 15500(1 + 0.06/12)^12 × 8

A = 15500(1 + 0.005)^96

A = 15500(1.005)^96

A = $25019.2

The interest paid is

25019.2 - 15500 = $9519.2

Considering bank B's offer

From the information given,

P = $15500

r = 6.5% = 6.5/100 = 0.065

n = 12 because it was compounded 12 times in a year.

t = 7 years

Therefore,

A = 15500(1 + 0.065/12)^12 × 7

A = 15500(1 + 0.0054)^84

A = 15500(1.0054)^84

A = $24366

The interest paid is

24366 - 15500 = $8866

The interest that would by paid on bank B's offer is lower than that of bank A and the duration of the loan offer from bank B is shorter than that of bank A.

Therefore,

Bank A gives you more time to pay up the loan and you end up paying more interest

Bank gives you lesser time to pay up the loan and you end up paying lesser interest.

3 0
3 years ago
<3 and what is a linear pair
mylen [45]
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. hope it helps
7 0
3 years ago
Write the quadratic function in vertex form. y=-3x^2+24x-50
castortr0y [4]

Answer:

Step-by-step explanation:

y = -3x² + 24x - 50

factor out leading coefficient

y = -3(x² - 8x) - 50

complete the square

 coefficient of the x term: -8

 divide it in half: -4

 square it: (-4)² = 4²

 use 4² to complete the square and keep the equation balanced:

y = -3(x² - 8x + 4²) + 3(4²) - 50

y = -3(x-4)² - 2

4 0
3 years ago
Solve this proportion x/14 6/21
Gemiola [76]

Answer:

X=4

Step-by-step explanation:

Solution: x equals 4

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It’s too much steps

5 0
3 years ago
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