All categories

3 years ago

You have $125.60 in quarters and

Mathematics

1 answer:

Sloan [31]3 years ago

3 0

Answer:

Quarters = q = 200

Dimes = d = 756

Step-by-step explanation:

Let

Dimes = d

Quarter = q

Value of each Dime = 0.10

Value of each Quarter = 0.25

d + q = 956 (1)

0.1d + 0.25q = $125.60 (2)

From (1)

d = 956 - q

Substitute d = 956 - q into (2)

0.1d + 0.25q = $125.60

0.1(956 - q) + 0.25q = $125.60

95.6 - 0.1q + 0.25q = $125.60

- 0.1q + 0.25q = 125.60 - 95.6

0.15q = 30

Divide both sides by 0.15

q = 30 / 0.15

= 200

q = 200

Substitute q = 200 into (1)

d + q = 956

d + 200 = 956

d = 956 - 200

= 756

d = 756

Therefore,

Quarters = q = 200

Dimes = d = 756

You might be interested in

Check over my math please.

sineoko [7]

Answer:

It looks like everything is correct :)

Step-by-step explanation:

7 0

3 years ago

The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected

Dominik [7]

Answer:

The probability that a person is audited more than twice is 0.0037 .

Step-by-step explanation:

We are given that The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year.

We are interested in the expected number of audits a person with that income has in a 16-year period

Now we are supposed to find the probability that a person is audited more than twice.

So, We will use binomial distribution

So, Probability of success =p= 2% = 0.02

So, Probability of failure = q=1-0.02=0.98

n = 16

Now we are supposed to find the probability that a person is audited more than twice i.e. $P(x \geq 2)$

So, $P(x \geq 2)= 1-(P(x=0)+P(x=1)+P(x=2)$

Formula : $^nC_x p^x q^{n-x}$

So, $P(x \geq 2)= 1-(^{16}C_0 {(0.02)}^0 {(0.98)}^{16-0}+^{16}C_1 {(0.02)}^1 {(0.98)}^{16-1}+ ^{16}C_2 {(0.02)}^2 {(0.98)}^{16-2})$ $P(x \geq 2)= 1-(\frac{16!}{0!(16-0)!} {(0.02)}^0 {(0.98)}^{16-0}+\frac{16!}{1!(16-1)!} {(0.02)}^1 {(0.98)}^{16-1}+\frac{16!}{2!(16-2)!} {(0.02)}^2 {(0.98)}^{16-2})$

$P(x \geq 2)= 1-(0.9963)$

$P(x \geq 2)= 0.0037$

Hence the probability that a person is audited more than twice is 0.0037 .

8 0

4 years ago

Write an equation that represents the tile pattern in the table below

natima [27]

Answer:

y=3x+2

Step-by-step explanation:

First find the slope or m in the line of equation y=mx+b

to find slope you need two points, plug in to y2-y1 / x2-x1

so lets use points (0,2) (1,5)

5-2 / 1-0 = 3

m=3

we have y=3x + b

now we find b by pugging in a point, let's use (0,2)

2 = 3(0) + b

b= 2

y=3x+2

please give thanks by hitting the heart button :)

7 0

3 years ago

Joshua is going to invest $9,000 and leave it in an account for 5 years. Assuming the interest is compounded continuously, what

zimovet [89]

I think it is 72.2 percent because 9x5=45k and 45k-32.5k= 12.5k so 32.5 percent of 45 is 72.2 (rounded to the nearest tenth) btw I feel lonely

3 0

3 years ago

What is the approximate volume of the cylinder

marta [7]

Answer:

5026.55

Step-by-step explanation:

the only one closes to that is C

╦────────────────────────────╦

│Hope this helped _____________________│

│~Xxxtentaction _______________________│

╩___________________________________╩

4 0

3 years ago