How long will it take to earn $252 in interest if $1200 is invested at a 7% annual interest rate?

Darlene Fine wants to have at least $50,000 in her savings account in 10 years. If her account pays 3.6% interest compounded ann

marshall27 [118]

In this problem the question asked is what principal should be invested on a rate of interest of 3.6% for 10 years to get the totals amount as 50000$
the formula for compound interest is
A=P*(1+R/100)^T
we shall replace the formula
50000=X*(1+3.6/100)^10
50000=x*(100/100+3.6/100)^10
50000=x*(103.6/100)^10
50000=X*(1.036)^10
50000=1.4242x
50000/1.4242=X
35107.42=X
hope u found this useful
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pls out this as a brainliest answer please

6 0

4 years ago

A ladder AB, which is set up with B on the horizontal ground and A against a vertical wall, makes an angle of 71 degrees with th

MrMuchimi

Answer:

5151.48 cms

Step-by-step explanation:

We have to:

1.68 m is 1680 cm.

Now the rope forms another right triangle. PQB, we can find the value of QB as follows:

tan (71 °) = PQ / QB

Solving:

QB = PQ / tan (71 °)

Replacing we have:

QB = 1680 / 2.9

QB = 579.31

Knowing this value we can find QA using similar triangles PQB and AQP, like this:

QA / PQ = PQ / QB

Solved:

QA = PQ ^ 2 / QB

Replacing:

QA = 1680 ^ 2 / 579.31

QA = 4872

Finally, knowing QA, we can calculate the one we want to know AP:

Sin (71 °) = AP / AB

But AB = QA + QB = 4872 + 579.31, therefore AB = 5451.31

Solved:

AP = Sin (71 °) * AB

Replacing:

AP = 0.945 * 5451.31

AP = 5151.48 cms

5 0

4 years ago

A random sample from the 6th and 7th grade student population was taken to determine which clubs were the most popular.

gtnhenbr [62]

Using the percentage concept, it is found that 25% of 6th graders are involved in the yearbook club.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

In this problem, 10 out of 10 + 24 + 6 = 40 6th graders are involved in the yearbook club, hence the corresponding percentage is given by:

$P = \frac{10}{40} \times 100\% = 25\%$

More can be learned about percentages at brainly.com/question/10491646

6 0

3 years ago

What is the value of x? Enter your answer in the box. 68mm 57mm 129.2mm

GarryVolchara [31]

Question:

What is the value of x? Enter your answer in the box. 68mm 57mm 129.2mm

The image of the triangle is attached below:

Answer:

The value of x is 98mm

Explanation:

It is given that VT = 57, TK = 129.2, YK = 68 and VK = x

Now, we need to find the value of x.

We shall determine the value of x, using angle bisector theorem,

$\frac{YK}{TK} =\frac{YV}{VT}$

Let us substitute the values, we get,

$\frac{68}{129.2}=\frac{x-68}{57}$

Switch sides, we have,

$\frac{x-68}{57}=\frac{68}{129.2}$

Multiply both sides by 57,

$\frac{57(x-68)}{57}=\frac{68 *57}{129.2}$

Simplifying, we get,

$x-68=30$

Adding both sides by 68, we have,

$x=98$

Thus, the value of x is 98mm

8 0

4 years ago

Help with 1 and 3 if possible show work

Vinvika [58]

1)

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+r\right)^{t}
\quad 
\begin{cases}
A=\textit{compounded amount}\\
P=\textit{original amount deposited}\to &\$600\\
r=rate\to 1.6\%\to \frac{1.6}{100}\to &0.016\\
t=years\to &2
\end{cases}
\\\\\\
A=600\left(1+0.016\right)^{2}$

3)

$\bf V(t)=1350(1.017)^t\implies 
\begin{array}{llllll}
V(t)&=&1350(&1 +& 0.017&)^t\\
A&=&P(&1+&\boxed{r}&)^t
\end{array}$

notice the rate "r"... now, is in decimal format, as you saw on 1) is just r/100 so 1.6% was really 1.6/100 or 0.016 anyhow

to get the percentage form, just multiply it by 100

5 0

4 years ago