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3 years ago

100/9 write as a mixed number plz

Mathematics

1 answer:

stira [4]3 years ago

7 0

Answer: 11 1/9

Step-by-step explanation:

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A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

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

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0

3 years ago

Harvey collects rare marbles. He has 112 marbles. Each tray holds an equal number. If he uses 7 trays, how many marbles will he

Nezavi [6.7K]

48 marbles on 3 trays.

5 0

3 years ago

Read 2 more answers

PLEASE HELP MEEEEEEEEE

nasty-shy [4]

Answer:

Step-by-step explanation:

The chances of the first student walking to school is 7/30.

Without replacement, there are 29 students left. Hence the chance of the second student walking to school is 6/29 of the original 7/30 chance.

$(\frac{7}{30} )(\frac{6}{29} )=\frac{7}{145}$

8 0

2 years ago

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What are the solutions of the quadratic equation p^2+3p-28=40

vivado [14]

Answer:

the answer is =-3± $\sqrt{281}$ /2

Step-by-step explanation:

3 0

3 years ago

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Xanthe and Sarah do some fundraising for their local nursing home. Together they raised $$$302. If Xanthe raised $$$102 more tha

Dimas [21]

Given :

Xanthe and Sarah together raised $302 .

If Xanthe raised $102 more than Sarah .

To Find :

The amount raised by Sarah .

Solution :

Let , amount raise by Sarah is x .

So , by the relation given , price raised by Xanthe is 102 + x .

Now , sum of their amount raised is :

$x+(x+102)=302\\\\2x=302-102\\\\x=\$100$

Therefore , the amount raised by Sarah is $100 .

Hence , this is the required solution .

6 0

3 years ago