Write the subtraction problem below as an equation

1400 dollars is placed in an account with an annual interest rate of 5.5%. to the nearest year, how long will it take for the ac

olga_2 [115]

It will take 19 years and 6 months for the account value to reach 2900 dollars

Step-by-step explanation:

Given

Principal amount = 1400 dollars

Rate = 5.5 %

Final value = A = 2900

We have to find t

So,

The formula for simple interest is:

$A = P(1+rt)$

Putting values

$2900 = 1400(1+0.055.t)\\\frac{2900}[1400} = 1+0.055t\\2.071 = 1+0.055t\\2.071-1=0.055t\\1.071 =0.055t$

Dividing both sides by 0.055

$\frac{0.055t}{0.055} = \frac{1.071}{0.055}\\t = 19.47\ years$

Rounding off to nearest tenth

19.5 years

Hence,

It will take 19 years and 6 months for the account value to reach 2900 dollars

Keywords: Interest, simple interest

Learn more about interest at:

#LearnwithBrainly

6 0

3 years ago

Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?

tatuchka [14]

Answer:

The best estimate for the average rate of change is $-2$

Step-by-step explanation:

we know that

the average rate of change using the graph is equal to

$\frac{f(b)-f(a)}{b-a}$

In this problem we have

$f(a)=f(0)=0$

$f(b)=f(4)=-8$

$a=0$

$b=4$

Substitute

$\frac{-8-0}{4-0}=-2$

4 0

3 years ago

Read 2 more answers

(2/3)^x-1=27/8, Find x

alisha [4.7K]

You’re answer will be “x=-2”

6 0

3 years ago

Read 2 more answers

Point H is the midpoint of side FK. Triangles F G H and K J H are connected at point H. The lengths of sides F H and H K are con

earnstyle [38]

Answer:

the answer would be x=6

to find it you would set 3x-2 equal to 2x+4 and solve because the two sides would be equal if the triangles are congruent

hope this helps :)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes. The distance from Hickory Hills t

beks73 [17]

Answer: $V=51\ \frac{mi}{h}$

Step-by-step explanation:

You need to used the following formula:

$V=\frac{d}{t}$

Where "V" is the speed, "d" is the distance and "t" is the time.

In this case you know that Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes (which is $\frac{1}{3}\ h$ ) and the distance is 17 miles. Then, you can identify that:

$t=\frac{1}{3}\ h\\\\d=17\ mi$

Therefore, knowing these values, you can substitute them into the formula. Then, you get:

$V=\frac{17\ mi}{\frac{1}{3}\ h}\\\\V=51\ \frac{mi}{h}$

8 0

3 years ago