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3 years ago

When Angelina was born, her grandparents deposited $3000 into a college savings account

Mathematics

1 answer:

ASHA 777 [7]3 years ago

8 0

Answer:

$4105.71

Step-by-step explanation:

1. Add 100 to 4%. When you do this, you get 104.

2. Move the decimal in 104 two times to the left. This will result in 1.04

3. Now you need to solve 3,000(1.04^8)

4. 1.04^2 = 1.36856905041

5. 1.36856905041 x 3,000 = 4105.70715122

6. You round 4105.70715122 to the nearest tenth because it's money. This will result in 4105.71

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The square below represents one whole.

Ray Of Light [21]

Answer:

fraction 40/100

decimal 0.4

precent 40%

5 0

2 years ago

If the measure of angle 2 = 7x + 7 and the measure of angle 4 = 5x + 27, find the following

padilas [110]

Answer:

x = 10

m angle 2 = 77

m angle 4 = 77

m angle 5 = 103

Step-by-step explanation:

you can equate angle 2 to angle 4, solve for x. then plug in the x value. a angle 2 and 4 will both be 77. angle 5 will be 180-77since angle 2 and 6 are congruent, and angle 6 forms a straight line with angle 5.

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3 years ago

Y + 3 = –y + 9 y = 1 y = 3 y = 6 y = 9

AVprozaik [17]

Answer:

y=3

Step-by-step explanation:

y + 3 = - y + 9

y + y = 9 - 3

2y = 6

y = 6/2

y =3

8 0

3 years ago

Factor. 2v^2-11v-63

Tatiana [17]

Answer:

(2v +7)(v -9)

Step-by-step explanation:

Factors of 2·(-63) = -126 that have a sum of -11 are 7 and -18, so we can rewrite the middle term to -18v+7v. Then we can factor by grouping.

2v^2 -18v +7v -63 = 2v(v -9) +7(v -9)

= (2v +7)(v -9)

5 0

3 years ago

Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 8 feet

Rufina [12.5K]

Please check the attached file for the diagram of Sally's yard.

Let $w$ be the width of the yard.

Let $l$ be the length.

We are given that the length of the yard is 8 feet more than 4 times the width. Let us convert this into a mathematical equation.

4 times the width will be $4w$ . Now, 8 feet, or 8 more than 4 times the width will be $4w+8$ . We know that this is the value of the length of the yard and thus we can write this as:

$l=4w+8$

As we can see we have found the relationship between the length, $l$ and the width, $w$ of the yard.

We have been told that the total length of the fence required for the yard is 106 feet. This obviously means that the perimeter of the rectangular yard is 106 feet.

Now, we know that the perimeter of a rectangle is given by:

Perimeter= $2(l+w)=2((4w+8)+w)$ this is because we know that the length, $l$ is given by $l=4w+8$ .

Continuing further we get:

$106=8w+16+2w=10w+16$ This is because Perimeter=length of the fence=106 (given)

Therefore, $10w=90$

or, $w=9$ so, we just now found the width of the yard which is 9 feet. We are required to find the length. We can easily find the length using the relationship between $w$ and $l$ which is:

$l=4w+8$ giving us:

$l=4\times9+8=44$

Thus the length of the fence is 44 feet.

5 0

3 years ago