rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR

Mathematics

1 answer:

weqwewe [10]2 years ago

6 0

QR =12 because you set up a proportion 21/14=x/8 then cross multiply and get 14x=168 then you divide and get 12

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

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

1.
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n=4 (quarter means 4 times per year)
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2.
A=18000
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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
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if he willnot be investing any more, he needs $7861.6 more
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