This graph shows how the total length Kimi has knit depends on the number of nights she has spent knitting.

Mrs. Matthews wants to have $18,000 in the bank in 2 years. If she deposits $9000 today at 6% compounded quarterly for 2 years,

OverLord2011 [107]

Depends if you want
1. find how much he will earn, find the differnce between that and 18000
2. see how much to invest till he will get 18000

A= $P(1+ \frac{r}{n})^{nt}$

A=futre amount
P=present amout
r=rate in decimal
n=number of times per year ccompounded
t=time in years

1.
A=?
P=9000
r=0.06
n=4 (quarter means 4 times per year)
t=2
?= $9000(1+ \frac{0.06}{4})^{(4)(2)}$
?= $9000(1+ 0.015)^{8}$
?= $9000(1.015)^{8}$
?=10138.4 will be earned
18000-10138.4=7861.6 needed

2.
A=18000
P=9000+x
r=0.06
n=4 (quarter means 4 times per year)
t=2
18000= $(9000+x)(1+ \frac{0.06}{4})^{(4)(2)}$
18000= $(9000+x)(1+ 0.015)^{8}$
18000= $(9000+x)(1.015)^{8}$
divide both sides by 1.015^8
15978.8=9000+x
minus 9000 both sides
6978.8 needed

if he willnot be investing any more, he needs $7861.6 more
if he will invest more he will need to invest $6978.8 more

6 0

2 years ago

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Forty five children attend a preschool. The number of two year olds is one half of the number of three year old's. The number of

Maurinko [17]

To put this into an equation, we can make x the amount of two year old's there are.

x+2x+2x=45

5x=45

x=9

9 two year old's, 18 three year old's, and 18 four year old's.

5 0

2 years ago

Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles

777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0

2 years ago

What is the GCF of 16s3t, 40s5, and 68t2? 4 4s3t 8 8s3t

Gemiola [76]

4 is the only factor common among all terms

3 0

2 years ago

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Nevaeh has 12 gallons of gas in her car at the beginning of a trip. Every hour Nevaeh

slega [8]

Answer:

there is no question below therefore, we can't answer it

8 0

2 years ago