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Andreas93 [3]
2 years ago
11

Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of

$21,000 after 4 years?
Mathematics
1 answer:
Alisiya [41]2 years ago
6 0

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

21000 = P (1+0.078/12)^12×4

21000 = P (1+0.078/12)^48

21000 = P (1+0.0065)^48

21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

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2 years ago
A restaurant has 5 pizza toppings to choose from. How many different 2-topping pizzas are possible?
horsena [70]
10


Because if you do 5•2 you get 10

More in depth explanation:

Though there are 25 possible configurations the question asks for two different toppings together. It also asks for unique combinations. So AB and BA are the same combination in this context. The only unique possibilities are

AB
AC
AD
AE
BC
BD
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It is easy to simplify this into 5•2 for this situation. And if the question asked for three toppings you would do 5•3.

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5 0
3 years ago
Using the following image, if you EG = 59, what are x, EF, and FG.
Harman [31]

Answer:

x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units

Step-by-step explanation:

Given: EG =59 \,\,units

To find: x,EF,FG

Solution:

From the image, EG=EF+FG

Put EF=8x-14\,,\,FG=4x+1\,,\,EG=59

8x-14+4x+1=59\\12x-13=59\\12x=59+13\\\\12x=72\\x=\frac{72}{12}=6

EF=8x-14=8(6)-14=48-14=34\\FG=4x+1=4(6)+1=24+1=25

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x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units

8 0
3 years ago
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erik [133]

Answer:

47

Step-by-step explanation:

the lines are parrele which explains

why its 47

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3 years ago
Tell whether each relationship is a function.
Serhud [2]

Answer:

3 is a function.

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You cant do this on graph 3 so it is a function.

8 0
2 years ago
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