All categories

3 years ago

Multiply 7i(5-9i) Please Help!

Mathematics

1 answer:

AleksandrR [38]3 years ago

3 0

1. Distribute

7i × 5 + 7i × -9i

2. Simplify 7i × 5 to 35i

35i + 7i × -9i

3. Simplify 7i × -9i to -63ii

35i - 63ii

4. Use the Product Rule

35i - 63i^2

5. Use the Square Rule

35i - 63 × -1

6. Simplify 63 × -1 to -63

35i - (-63)

7. Simplify brackets

35i + 63

8. Regroup terms

63 + 35i

You might be interested in

Rachel is calculating the interest earned on a deposit of $350 in an account that earns 6% simple interest after 15 years.

alukav5142 [94]

Answer:

$315

Step-by-step explanation:

You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

I = interest amount

P = principal amount

r = interest rate (decimal form)

t = time

Now we can plug in the values into the equation:

This means that Rachel earned $315 worth of interest in the 15 year period.

8 0

3 years ago

Read 2 more answers

Describe the relationship between base 4 and exponent 3

Sergio [31]

Is there any options?

4 0

3 years ago

A fund earns a nominal rate of interest of 6\% compounded every two years. Calculate the amount that must be contributed now to

Nesterboy [21]

Answer:

$712.

Step-by-step explanation:

We have been given that a fund earns a nominal rate of interest of 6% compounded every two years. We are asked to find the amount that must be contributed now to have 1000 at the end of six years.

We will use compound interest formula to solve our given problem.

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

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$6\%=\frac{6}{100}=0.06$

Since interest is compounded each two years, so number of compounding per year would be 1/2 or 0.5.

$1000=P(1+\frac{0.06}{0.5})^{0.5*6}$

$1000=P(1+0.12)^{3}$

$1000=P(1.12)^{3}$

$1000=P*1.404928$

$\frac{1000}{1.404928}=\frac{P*1.404928}{1.404928}$

$P=711.7802478$

$P\approx 712$

Therefore, an amount of $712 must be contributed now to have 1000 at the end of six years.

7 0

3 years ago

Lim(x,0) sqrtx+11 -sqrt11/x

Rudik [331]

Answer:

=11x=qrst/x

Step-by-step explanation:

8 0

3 years ago

the ratio of the weight of a book to the weight of a mug is 7:5 what fraction of the total weight of the book and mug is the wei

Elena-2011 [213]

12:7
because you add 7 and 5 and then there is the 7 for the book weight

7 0

3 years ago