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2 years ago

Solve for the indicated variable. a -c=d-r. for a a=

Mathematics

1 answer:

sveticcg [70]2 years ago

6 0

Answer:

a= d-r +c

Step-by-step explanation:

a-c = d-r

a= d-r +c

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Complete the inequality statement with the symbol that makes it true.<br> 28.005_28.05

Veronika [31]

Answer:

Step-by-step explanation:

5/1000 is a smaller value than 5/100

3 0

2 years ago

The scale on a map is 1 cm for every 400 km. If Maine and Japan are 22 cm apart on the map, what is the distance between Maine a

Leviafan [203]

Essentially, you must multiply 22 by 400. You get 8800 km apart for your answer.

5 0

3 years ago

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

Two friends left school at the same time and drove in opposite directions. One friend averages 40 miles per hour and the other f

EastWind [94]

The two friends will be 150 miles apart, when the sum of the distances covered by the them is 150 miles.

distance = speed x time.
Let the time covered when they are 150 miles apart be x, then:
40x + 35x = 150
75x = 150
x = 150/75 = 2.

Therefore, the two friends will be 150 miles apart in 2 hours.

3 0

2 years ago

Write the expression in complete factored form <br><br> 3p^2(q+3)-4(q+3)

Tresset [83]

If you factored this the outcome would be,

(q+3)(3p^2-4)

6 0

2 years ago