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sveticcg [70]
3 years ago
7

How many years does it take for an annuity of $ 1,000 to grow to $ 20,000, assuming k = 7%?

Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0
For an annual deposit of A=$1000 (at the end of the year) at an annual interest rate of i=7% compounded yearly, the future value 
F=\frac{A((1+i)^n-1)}{i}   where n=number of years
=>
20000=\frac{1000((1+.07)^n-1)}{.07}
on simplification
1.4=(1.07)^n-1
(1.07)^n=2.4
take logs and solve for n
n=log(2.4)/log(1.07)
n=12.939  years, to the nearest 0.001 year

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Use inductive and deductive reasoning to solve the problem. Draw a diagram and solve the problem Freddie the frog is a at the bo
Wewaii [24]

Answer:

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Step-by-step explanation:

4 0
3 years ago
xialoli was estimating the difference between two positive numbers x and y (where x>y). First she rounded x up by a small amo
AleksandrR [38]

Remark

This is an excellent question. Estimation is a powerful skill to have. People should always shop using estimates. Try it to see what happens.

x = 11.7 which rounds up to which we will call x1 and that is 12

y = 6.03 which round down to 6 which we will call y1 and that is 6

Now x - y = 5.67

If you do the rounded subtraction x1 - y1 = 12 - 6 = 6

The estimate is not zero. D is not correct.

There is enough information E is not the answer.

B is wrong, her estimate is larger than x - y

C is wrong the two subtractions are not equal.

A is correct and always will be no matter what numbers are chosen

A <<<< Answer

5 0
3 years ago
If m ABC = 118°, solve for x.
ziro4ka [17]

Given:

m∠ABC = 118°

m∠DAC = (9x - 33)°

m∠CAB = (2x + 7)°

To find:

The value of x.

Solution:

Sum of the adjacent angles in a parallelogram = 180°

m∠ABC + m∠CAB + m∠DAC = 180°

118° + 9x° - 33° + 2x° + 7° = 180°

92° + 11x° = 180°

Subtract 92° from both sides.

92° + 11x° - 92° = 180° - 92°

11x° = 88°

Divide by 11° on both sides.

x = 8

The value of x is 8.

6 0
3 years ago
Order the side from greatest to least.<br> Η.<br> 28°<br> 118°<br> K<br> J<br> side [Select ]
KIM [24]

Answer:

HJ>KJ>HK

Step-by-step explanation:

Side opposite to the largest angle is the largest.

Side opposite to smallest angle is the smallest.

ang K = 118° ang J = 28°

ang K + ang J + ang H = 180° (Sum of all the angles in the triangle is 180°)

118°+28°+angH=180° (Putting the values of ang K & ang J)

146°+angH=180°

ang H=180°-146°

ang H=34°

128°>34°>28°

ang K>ang H>ang J

Here, ang K is the largest, so the side opposite to it i.e. HJ will be the largest side.

Smaller than ang K and bigger than ang J is ang H, so the side opposite to it i.e. KJ will be smaller than HJ but bigger than HK.

Ang J is the smallest angle, so the side opposite to it i.e. HK will be the smallest.

HJ>KJ>HK.

4 0
3 years ago
Why wont anyone give me just the answers when i need them?
lina2011 [118]

Answer:

id.k maybe because people are busy ,

i think the same as you.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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