Which set of numbers all include the number -3

If the interest rate is 7%, how many years will it take for your bank balance to double from $1,000 to $2,000?Enter the followin

svlad2 [7]

Answer:

It will take 14.29 years for your bank balance to double from $1,000 to $2,000.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

If the interest rate is 7%, how many years will it take for your bank balance to double from $1,000 to $2,000?

We have that $P = 1000, I = 0.07$

We want to find t when E = 1000, so $T = P + E = 2000$ .

$E = P*I*t$

$1000 = 1000*0.07*t$

$t = \frac{1}{0.07}$

$t = 14.29$

It will take 14.29 years for your bank balance to double from $1,000 to $2,000.

8 0

3 years ago

Given radical a and radical b are in simplest radical form and radical a timed radical b equals c radical d and c radical d is i

lawyer [7]

Answer:

See below.

Step-by-step explanation:

Since sqrt(a) and sqrt(b) are in simplest radical form, that means a and b have no perfect square factors. When sqrt(a) and sqrt(b) are multiplied giving c * sqrt(d), the fact that c came out of the root means that there was c^2 inside the product sqrt(ab). This means that a and b have at least one common factor.

ab = c^2d

Example:

Let a = 6 and let b = 10.

sqrt(6) and sqrt(10) are in simplest radical form.

Now we multiply the radicals.

sqrt(a) * sqrt(b) = sqrt(6) * sqrt(10) = sqrt(60) = sqrt(4 * 15) = 2sqrt(15)

We have c = 2 and d = 15.

ab = c^2d

6 * 10 = 2^2 * 15

60 = 60

Our relationship between a, b and c, d works.

6 0

2 years ago

the length of a rectangle is 7 inches more than its width, if the perimiter of the rectangle is 66 inches, find its dimensions.

Maurinko [17]

Perimeter of rectangle=66
length of rectangle=L
width of rectangle=w
P of a rect.= 2(length)+ 2(width)
66= 2L+2w

if the length is 7in more than the width, then
L=7+w

Now we will substitute 7+w in for L. Here is our new equation:

66=2(7+w) + 2w

Solve for w

66=14+2w+2w
66=14+4w
52=4w
w=13
L=7+13, so L=20

I hooe this is explained well enough

3 0

3 years ago

Change the following fractions into mixed numbers

Travka [436]

A) 23/8 divide 23 by 8 to get 2 with remainder 7 therefore 2 7/8
work all by treating each fraction as a division problem and placing the remainder over the divisor
b) 14/3 = 4 2/3
c) 19/11 = 1 8/11
d) 8/7 = 1 1/7
e) 17/9 = 1 8/9
f) 27/8 = 3 3/8
g) 35/5 = 11 2/3
h) 9/4 = 2 1/4

6 0

3 years ago

Find lim h 0 f(2+h)-f(2)/ h if(x)=x^ 2 .

jonny [76]

Answer:

4

Step-by-step explanation:

6 0

2 years ago

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