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Flura [38]
2 years ago
15

Maggie has $14,100 to invest, and wishes to gain $4,000 in interest over the next eight years. Approximately what is the minimum

simple interest rate Maggie needs to reach her goal?
a. 2.89%


b. 3.55%


c. 4.95%


d. 5.18%

Please select the best answer from the choices provided



A
B
C
D
Mathematics
1 answer:
julsineya [31]2 years ago
3 0
Simple interest doesn't compound, so we just find the interest she needs by dividing 4,000 by 8, and then divide that number by her principal to find the rate of interest. 

4,000 ÷ 8 = 500
She needs 500 dollars per year in interest. 

800 ÷ 14,100 = .0355 = 3.55%

Answer is B
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Isabella can afford a $410-per-month car payment, and she's interested in either a sedan, which costs $21,600, or a station wago
mylen [45]

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Step-by-step explanation:

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2 years ago
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If cos Θ = square root 2 over 2 and 3 pi over 2 < Θ < 2π, what are the values of sin Θ and tan Θ?
KIM [24]

Answer:

The answer is

sin(\theta)=-\frac{\sqrt{2}}{2}

tan(\theta)=-1

Step-by-step explanation:

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

sin^{2}(\theta)+cos^{2}(\theta)=1

In this problem we have

cos(\theta)=\frac{\sqrt{2}}{2}

\frac{3\pi}{2}

so

The angle \theta belong to the third or fourth quadrant

The value of sin(\theta) is negative

Step 1

Find the value of  sin(\theta)

Remember

sin^{2}(\theta)+cos^{2}(\theta)=1

we have

cos(\theta)=\frac{\sqrt{2}}{2}

substitute

sin^{2}(\theta)+(\frac{\sqrt{2}}{2})^{2}=1

sin^{2}(\theta)=1-\frac{1}{2}

sin^{2}(\theta)=\frac{1}{2}

sin(\theta)=-\frac{\sqrt{2}}{2} ------> remember that the value is negative

Step 2

Find the value of tan(\theta)

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=-\frac{\sqrt{2}}{2}

cos(\theta)=\frac{\sqrt{2}}{2}

substitute

tan(\theta)=\frac{-\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}

tan(\theta)=-1

8 0
2 years ago
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What is a27 of the sequence 15,10,5,…?
jeka57 [31]

-115

Using the arithmetic formula, your equation appears as so:

an = 15 + (27 - 1) - 5

15 being the first number in the sequence, 27 being the number you're trying to find, and -5 being the common difference.

This will give you the answer of -115.

Hope this helps!

8 0
2 years ago
Solve for x. −12 = − 3/4 x A) 6 B) 8 C) 12 D) 16
shepuryov [24]

Answer:

D) 16

Step-by-step explanation:

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2 years ago
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