For EACH ordered pair, determine if its a solution to 2x+9y=13

Express 150% of 60% as a percent.

photoshop1234 [79]

Answer:

0.9 ≈ 90%

Step-by-step explanation:

60% = 60/100

150% of 60% = 150/100 * 60/100

= 9000/10000

= 0.9 ≈ 90%

7 0

3 years ago

Please help me. I am pretty confused on this

Tanya [424]

Answer:

C

Step-by-step explanation:

16's square root is 4

8 0

3 years ago

Read 2 more answers

Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. At the end

navik [9.2K]

Answer: $4900 at 8%

$6000 at 11%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 8% interest.

Let y represent the amount which he invested in the account paying 11% interest.

Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. This means that

x + y = 10900

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 8% interest,

P = $x

T = 1 year

R = 8℅

I = (x × 12 × 1)/100 = 0.08x

Considering the account paying 11% interest,

P = $y

T = 1 year

R = 11℅

I = (y × 6 × 1)/100 = 0.11y

At the end of the first year he had earned $1052 in interest., it means that

0.08x + 0.11y = 1052 - - - - - - - - - -1

Substituting x = 10900 - y into equation 1, it becomes

0.08(10900 - y) + 0.11y = 1052

872 - 0.08y + 0.11y = 1052

- 0.08y + 0.11y = 1052 - 872

0.03y = 180

y = 180/0.03

y = 6000

x = 10900 - y = 10900 - 6000

x = 4900

3 0

3 years ago

Write a formula for the general term or nth term for the sequence. Then find the indicated term. five halves comma five fourths

nadya68 [22]

Sequence: 5/2, 5/4, 5/8, 5/16
a8=?

a1=5/2
a2=5/4
a3=5/8
a4=5/16

a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2

an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n

n=8→a8=5/2^8
a8=5/256

Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256

6 0

3 years ago

Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much

lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

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

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

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

$15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}$

$(1.0275)^{16}P = 15000$

$P = \frac{15000}{(1.0275)^{16}}$

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

In which:

P is the payment.

n is the number of payments.

r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

$V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]$

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

6 0

2 years ago