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Harman [31]
4 years ago
8

A family borrows money for a rainforest tour. The simple annual interest rate is 12%. The loan is paid after 3 months. What is t

he total amount paid for the tour?
Mathematics
1 answer:
ser-zykov [4K]4 years ago
6 0

Answer:

A = 1.36P

Step-by-step explanation:

A = P(1 + rt)

If the money borrowed (principal) is P then the amount paid after 3 years is;

A = P(1 + 0.12(3))

A = P(1 + 0.36)

A = 1.36P

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Find the percent of change when 40 is increased to 83. If necessary, round your answer to the nearest tenth.
Kamila [148]

Answer:

0.5 is your answer

Step-by-step explanation:

6 0
2 years ago
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A baby elephant weights 1,400 pounds which is 7,437 pounds less than her mother write an express the weight pf the mother solve
Irina18 [472]
Expression: x - 7437 = 1400
answer: 1400 + 7437 = 8837 (x)

hope this helps! comment if further explanation is needed :)

5 0
3 years ago
Indicate the correct alternative. The expression (10%) ² - (5%) ² is equivalent to:
Tanzania [10]
Convert 10% into a decimal 
(0.1)^{2} - (5%)^{2}

Remove parentheses around 0.1
0.1^{2}-(5%)^{2}

Raise 0.1 to the power 2 to get 0.1
0.01-(5%)^{2}

Convert 5% to a decimal
0.01-(0.05)^{2}

Remove parentheses around 0.05
0.01-0.05^{2}

Raise 0.05 to the power of 2 to get 0.0025
0.01-1*0.0025

Multiply -1 by 0.0025 to get -0.0025
0.01-0.0025

Subtract 0.0025 from 0.01 to get 0.0075

You Answer is: 0.0075

5 0
4 years ago
If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.
Verizon [17]

Step-by-step explanation:

the solutions for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = k

x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)

x1 = 2 + sqrt(4 - k)

x2 = 2 - sqrt (4 - k)

x1 = 2 + x2

2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)

2×sqrt(4 - k) = 2

sqrt(4 - k) = 1

4 - k = 1

k = 4 - 1 = 3

x1 = 3

x2 = 1

3 0
2 years ago
Read 2 more answers
A fruit company has 20% returns in periods of normal rainfall and -3% returns in droughts. The probability of normal rainfall is
WARRIOR [948]

Answer:

E(x) = 10.8\% \\\\

The fruit company’s expected returns are 10.8%

Step-by-step explanation:

The expected returns of the fruit company is given by

E(x) =\sum (x \cdot P(x)) \\\\

For the given case,

Returns in normal rainfall = x₁ = 20% = 0.20

Returns in drought = x₂ = -3% = -0.03

Probability of normal rainfall = P(x₁) = 60% = 0.60

Probability of drought = P(x₂) = 40% = 0.40

So, the expected value of returns is

E(x) = x_1 \cdot P(x_1)  + x_2 \cdot P(x_2)  \\\\E(x) = 0.20 \cdot 0.60  - 0.03 \cdot 0.40  \\\\E(x) = 0.12 - 0.012 \\\\E(x) = 0.108 \\\\E(x) = 10.8\% \\\\

Therefore, the fruit company’s expected returns are 10.8%

7 0
3 years ago
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