-4x-6=-5y+9

Donnell practiced the piano 3 hours longer than Marcus.

emmasim [6.3K]

Donnell practiced 7 hours while Marcus practiced 4 hours.

5 0

3 years ago

A study was done on the batting averages for two baseball players: Hitmore and Bunter. Data were collected over a period of time

amm1812

Answer:

Both (B) and (C) are correct

Step-by-step explanation:

Explaining in simple terms, The Simpson's paradox simply describes a phenomenon which occurs when observable trends in a relationship, which are obvious during singular evaluation of the variables disappears when each of this relationships are combined. This is what played out when hitmire appears to d well on both of natyraknamd artificial turf when separately compared, but isn't the same when the turf data was combined. Also, performance may actually not be related to the turf as turf may Just be. a lurking variable causing a spurious association in performance.

4 0

3 years ago

Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af

Leno4ka [110]

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

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

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

$A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\$

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate<em> r </em>of in the time period of <em>t.</em>

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

$5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29$

In the 10 years, the refund she gets,

$A_r=63.29\times12\times100\\A_r=7594.8$

Interest paid by her is,

$I=7594.8-5500\\I=2094.8$

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

brainly.com/question/24274034

3 0

2 years ago

The population of a town is decreasing at a rate of 3.2% per year. In 2015, there were 14,250 people. What is the first year tha

notsponge [240]

The answer is D
you would set up an equation like this
14,250 x .032
this will give you how much the population is decreasing per year. Which is 456 people per year.
You then take 2015 and find the difference between that number and 2025 and do it with all of the other years too.
For example 2025-2015 is 10 years
You then take 10 x 456 to tell you how much the of population you lost in those 10 years. You will then take that number which is 4,560 and do 14,250-4,560 to get 9,650.

4 0

2 years ago

Martin ordered a pizza with a 12-inch diameter. Ricky ordered a pizza with a 16-inch diameter. What is the approximate differenc

adell [148]

Answer:

88 in²

Step-by-step explanation:

The shape of a pizza = Circular

Area of a circle = πr²

For Martin

Martin ordered a pizza with a 12-inch diameter.

Radius = Diameter/2 = 12 inch/2 = 6 inch

Area of Martin's pizza = π × 6²

= 113.09733553 in²

≈ 113.1 in²

For Ricky

Ricky ordered a pizza with a 16-inch diameter.

Radius = Diameter/2 = 16 inch/2 = 8 inch

Area of Martin's pizza = π × 8²

= 201.06192983in²

= 201.1in²

The approximate difference in area of the two pizzas in square inches is calculated as:

201.1 in² - 113.1 in²

= 88 in²

8 0

3 years ago