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7 months ago

If 6/7 of 28 is divided by 2/9 of 21, what is the quotient?

Mathematics

1 answer:

Alja [10]7 months ago

6 0

Answer: 5.150

Step-by-step explanation:

1. Multiply 28 by 6/7

2. Multiply 21 by 2/9

3. Divide 24 by 4.66

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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

2 years ago

What is -3 1/3+5/6 please help me

VLD [36.1K]

Answer:

-15/6

Step-by-step explanation:

-3 1/3+5/6

5/6 - 3 1/3

=> 5/6 - 10/3

=> 5/6 - 20/6

=> -15/6

8 0

2 years ago

Read 2 more answers

Is the sequence 7, 9, 11, 13,.. A)arithmetic B)geometric C) both D)netheir

ladessa [460]

This sequence is arithmetic, because each number is the last number plus two.

6 0

2 years ago

Read 2 more answers

Which expression is equivalent to cot t sec t?

Solnce55 [7]

Answer: $csc(t)$

Step-by-step explanation:

Alright, lets get started.

The given expression is given as :

$cot( t) \times sec (t)$

We know quotient identity as :

$cot(t)=\frac{cos(t)}{sin(t)}$

Similarly, we know reciprocal identity as :

$sec(t)=\frac{1}{cos(t)}$

lets plug the value of cot and sec in given expression

$\frac{cos(t)}{sin(t)} \times \frac{1}{cos(t)}$

cos will be cancelled, remaining will be

$\frac{1}{sin(t)}$

Using reciprocal identity again, that will equal to :

$csc(t)$ ................... Answer (A)

8 0

2 years ago

Can someone help me with this<br> S=?

MAXImum [283]

Answer:

In order to find the value of s, we must isolate the s variable in this equation, so the first step should be subtracting 3 5/6 from both sides of this equation. In order to subtract, we multiply each denominator to get 42, and multiply the numerator by the same amount, and subtract the number from both sides:

s + 3 35/42 = 9 6/42

s = 5 13/42

Step-by-step explanation:

3 0

2 years ago