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ss7ja [257]
3 years ago
15

Lyn invested $7,000 into a investment paying 3% interest, compounded semi-annually, twice a year. After five years, how much wou

ld the investment be worth? A=P(1+r/n)^nt
A.) $8,050.00
B.) $8,123.79
C.) $1,123.79
D.) $8,114.92
E.) $1,050.00
Mathematics
1 answer:
gayaneshka [121]3 years ago
3 0

Answer:

Option B.) $8,123.79

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=5\ years\\ P=\$7,000\\ r=0.03\\n=2  

substitute in the formula above  

A=\$7,000(1+\frac{0.03}{2})^{2*5}  

A=\$7,000(1.015)^{10}=\$8,123.79  

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Which of the following exponential regression equations best fits the data shown below
Art [367]

Answer:

(D) 8.46\cdot 3.51^x

Step-by-step explanation:

One could run this on a computer and verify the best fit through brute force. The more elegant way is, as usual, to think: What are special values of x for an exponential function? Zero, for starters - anything to the power of zero is 1. The function value for x=0 in the table is 10. Which choices A through D are close to 10 for x=0? Well, (C) and (D), the rest is too far. Next, what is the function value for the next easy one, x=1? The table says 30. Which of (C) and (D) is close to 30 for x = 1. It turns out we can safely exclude (C) because 10.84*1.77 is about 19 and that's way too far from 30. Let's check (D): 8.46*3.51=29.7 - that's quite close. Since there is no other candidate left, I bet my money on (D). Feel free to verify closeness for the other values of x if you are unconvinced yet.  

3 0
3 years ago
Read 2 more answers
The Statue of Liberty is approximately 300 ft. tall, and the right arm is approximately 42 ft. long. On a scale model that is 2
Archy [21]

Answer:

Weight of copper: 62,000 lbs. (31 tons). Weight of framework: 250,000 lbs. (125 tons). Weight of concrete foundation: 54,000,000 lbs. Thickness of copper sheeting: 3/32 of an inch, the thickness of two pennies placed together.  the answer in 125

Step-by-step explanation:

4 0
2 years ago
What is the result of subtracting the second equation from the first?
Vedmedyk [2.9K]

Answer:

5x - 2y = -2

Step-by-step explanation:

-2x - (-7x) = -2x + 7x = 5x

y - 3y = -2y

0 - 2 = -2

4 0
3 years ago
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Which of the following properties does not work for addition?
Simora [160]

Answer:

I believe it is Identity

3 0
2 years ago
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30. 3 x (5 + 6) = 33<br>33. 14 - (8 - 2) - 1 =<br>36. (3 + 2) × (4 + 6) =<br>39. 6 x 4 + 5) =​
Vanyuwa [196]

Answer:

39. 29

36. 50

33. 7

30. 33

Step-by-step explanation:

39. According to the Order of Operations, in this case, Subtraction & Addition are evaluated after Division & Multiplication:

6 \times 4 + 5 = 24 + 5 = 29

36. Evaluate everything since everything is wrapped in parentheses:

(3 + 2) \times (4 + 6) = 5 \times 10 = 50

33. Evaluate everything inside of parentheses FIRST:

14 - (8 - 2) - 1 = 14 - 6 - 1 = 7

I am joyous to assist you anytime.

7 0
3 years ago
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