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Alekssandra [29.7K]
3 years ago
8

Suppose Brianna invests $1,300 each year for 5 years, in an annuity that pays 6% annual interest, compounded annually. What perc

entage of the balance, after 5 years, is from Brianna’s contributions? Enter your answer as a percentage, rounded to two decimal places, but omit the percent sign.
Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer:

74.73%

Step-by-step explanation:

First, we're gonna find out her total amount

We're gonna use the count interest formula: P = A(1 + r)ⁿ

P = final amount

A = starting amount (1300)

r = rate (0.06)

n = years (5)

P = 1300(1 + 0.06)⁵

P = 1739.693251

Now divide the starting amount by the total amount

1300 ÷ 1739.693251 = 0.7472582

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Ms. Hagan invested twice as much money in an account that pays 7% interest as she did in an account that pays 6% in interest. He
Karo-lina-s [1.5K]

Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

Step-by-step explanation:

Let P be the initial amount she invested in an account that pays 6% interest.

Then, amount invested in other account = 2P

Simple interest = Principal x rate x time

After one year, for the first account,

Interest = P(0.06)(1)  = 0.06P

For second account,

Interest = (2P)(0.07)(1)=0.14P

Total interest = 0.06P+0.14P=1000

\Rightarrow\ 0.20P=1000\\\\\Rightarrow\ P=\dfrac{1000}{0.20}\\\\\Rightarrow\ P=5000

2P = 2(5000)=10000

Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

7 0
3 years ago
Jane is is charge of making a banner for the basketball game this Saturday. She measures how long the banner is before painting
RSB [31]

Answer:

The measurement which Jane finds to be 10 meters is the length of the banner.

Step-by-step explanation:

The measurement of 10 meters which Jane found after measuring how long the banner is before painting is the LENGTH of the banner.

This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.

It is possible to find the AREA, or PERIMETER, or LENGTH.

But what she finds is the LENGTH of the banner. If it was Area or Perimeter, the unit would have been square meters.

7 0
3 years ago
Whats the unit rate for 49 points in 28 minutes?
expeople1 [14]

Answer:

1.75 points per minute

7 0
3 years ago
Read 2 more answers
Rewrite each equation in vertex form by completing the square. Then identify the vertex.
ioda

ANSWER

Vertex form;

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

Vertex

V(  - \frac{3}{2} , -  \frac{35}{4} )

EXPLANATION

Given:

f(x) = 3 {x}^{2}  + 9x - 2

We complete the square as follows:

y = 3( {x}^{2}  + 3x) - 2

y = 3( {x}^{2}  + 3x +  \frac{9}{4} ) - 2 - 3 \times  \frac{9}{4}

The vertex form is:

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

The vertex is

V(  - \frac{3}{2} , -  \frac{35}{4} )

6 0
4 years ago
Read 2 more answers
For 12-15, find the missing measures
Bess [88]
12.

7, 14, 14pi, 7^2pi

13.

13, 26, 26pi, 13^2pi

14.

9, 18, 18pi, 9^2pi


15.

10, 20, 20pi, 10^2pi
4 0
3 years ago
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