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Ivahew [28]
3 years ago
6

Garrett has many annuity that pays $2,460 at the beginning of each year. If the economy grows at a rate of 2.35% semiannually, w

hat is the value of the annuity if he received it in a lump sum now rather than over a period of nine years?
Mathematics
1 answer:
mezya [45]3 years ago
7 0
FV value of the amount using future value annuity will be:
FV=P[(1+r)^n-1]/r
FV=2460[(1+0.01175)^18-1]/(0.01175)
FV=48,992.23

The present value of this amount will be:
PV=pe^(-rt)
PV=48992.23e^(-0.0235*9)
PV=39,652.81
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Given the equation y - 4 = (x + 8) in point-slope form, identify the equation of the same line in standard form. (1 point)
Alecsey [184]
Y-4=(x+8) = add4 to both sides of the equation, so y= x+8+4 then add like terms. Y=x+12 final answer.
3 0
3 years ago
Please Help!!! I've been stuck on this question for the longest and none of the answer choices are the answer I keep on getting.
Vera_Pavlovna [14]

I think the answer might be <em>B 30.4 ft</em> if it not it might be <em>C 161 ft</em>

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5 0
3 years ago
A junk box in your room contains fourteen old​ batteries, seven of which are totally dead. You start picking batteries one at a
MrMuchimi

Answer:

A junk box in your room contains fourteen old​ batteries, seven of which are totally dead.

So, number of good batteries = 14-7=7

a) The first two you choose are both good. ​

There is a 7/14 chance that we will pick a good battery.

Now there are 13 batteries left and out of that there are only 6 good ones remaining, so this becomes 6/13.

So, combined probability is = \frac{7}{14}\times \frac{6}{13}

= 0.23

b) At least one of the first three works.

\frac{7}{14} \times \frac{6}{13} \times \frac{5}{12} =0.096

And at least one is good battery, we get : 1-0.096=0.904

​c) The first four you pick all work.

There is a probability of 7/14 for the first one to work, 6/13 for the second, 5/12 for the third and 4/11 when the fourth is good, combined we get by multiplying all:

\frac{7}{14}\times \frac{6}{13}\times \frac{5}{12}\times \frac{4}{11}=0.0344

d) You have to pick five batteries to find one that works.

This condition means that we pick 4 bad batteries and 1 good battery.

The probability of picking 4 bad batteries is -

\frac{7}{14}\times \frac{6}{13}\times \frac{5}{12}\times \frac{4}{11}=0.0344

Since there are 7 good batteries remaining in 10 batteries so we will multiply 7/10 in 0.0344 to know the fifth one that finally works.  

This becomes = 0.0344\times0.7=0.024

5 0
2 years ago
Scientists discovered that a new spider can grow 5 legs every year, n top of 4 legs it already starts with. Scientist used the f
REY [17]

The dependent Variable would be

D. 4

--------------------------------------

4 0
2 years ago
5a²-44=81 what are the solutions to the equation?<br> A. ± 25<br> B. -5<br> C. ± 5<br> D. ± 125
Masteriza [31]

Answer:c

Step-by-step explanation:

Add 44 to both sides and divide by 5 (on both sides) then apply the square root

6 0
2 years ago
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