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Ivanshal [37]
3 years ago
5

Wallace took out a $5,000 loan for six years. He is being charged 4 percent interest, compounded annually. Calculate the total a

mount he will pay.
Mathematics
2 answers:
statuscvo [17]3 years ago
7 0
Wallace will pay $6,325 after 6 years.

Given:
Principal = 5,000
interest rate = 4%
Term = 6 years

Compound Interest means that the interest earned will also be earning its own interest.

Compound Interest = Principal x (1+r)^t
C.I. = 5,000 x 1.04⁶
C.I. = 5,000 x 1.265
C.I. = 6,325  TOTAL AMOUNT HE WILL PAY.

6,325 - 5,000 = 1,325 interest for 6 years.
Mrrafil [7]3 years ago
3 0
A=P(1+r/n)^nt A=5000(1+.04/1)^1*6 A=5000(1.04)^6 A=5000(1.265319018) A=6,326.60 (rounded)
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Answer:

Horizontal distance between lifeguard and the person is 22 feet.

Step-by-step explanation:

Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.

To find: Horizontal distance between lifeguard and the person.

Solution : If we draw a triangle then tan∅ = \frac{height}{base}

               Here base is the horizontal distance.

               Now we put the values in the formula.

               tan 34° = \frac{15}{base}

              Or Base = \frac{15}{tan34}

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3 years ago
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Answer        

Find out the Area of a triangle .

To proof  

Formula

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Now vertices are D(3, 3) , E(3, −1) , and F(−2, −5) .

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Solving the above

= \frac{1}{2}(3\times4+3\times-8 -2\times4)

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= -10 units²

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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu
IgorC [24]

Answer:

\frac{1}{9}

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

\sqrt{xy}

The Arithmetic mean is

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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

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We can write the equation;

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or

xy = 9 -  -  - (2)

l

and

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or

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Make y the subject in equation 2

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Put equation 3 in 1

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{x}^{2}  - 10x + 9 = 0

(x - 9)(x - 1) = 0

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When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

\frac{1}{9}

3 0
3 years ago
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