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3 years ago

A store had 88 diet sodas.The ratio of diet sodas to regular sodas was 8:4.How many regular sodas were there?

Mathematics

1 answer:

miss Akunina [59]3 years ago

8 0

Answer:

Step-by-step explanation:

diet : regular = 8:4

=> 88:44

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Holly is taking out a loan in the amount of $10,000. Her choices for the loan are a 4-year loan at 4% simple interest and a 6-ye

notsponge [240]

Answer:

The difference in the amount of interest she would have to pay for the two loans is $1,400

Step-by-step explanation:

The amount of loan Holly is taking out, P = $10,000

The choices available for the loan are;

1) Loan duration, T₁ = 4-year

Interest rate, R₁ = 4%

2) Loan duration, T₂ = 6-year

Interest rate, R₂ = 5%

For the first choice, we have;

The simple interest, I, given by the formula;

$I_1 = \dfrac{P \times R_1 \times T_1 }{100} = \dfrac{10,000 \times 4 \times 4 }{100} = \$ 1,600$

For the second choice, we have;

The simple interest, I, given by the formula;

$I_2 = \dfrac{P \times R_2 \times T_2 }{100} = \dfrac{10,000 \times 5 \times 6 }{100} = \$ 3,000$

The difference, D, in the amount of interest she would have to pay for the two loans is therefore;

D = I₂ - I₁ = $3,000 - $1,600 = $1,400

The difference in the amount of interest she would have to pay for the two loans = D = $1,400.

7 0

3 years ago

Read 2 more answers

What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?

vivado [14]

Answer:

hello there,

the answer for this equation is:

The value of Start Fraction 6 Over x End Fraction + 2x2, when x = 3 is 20.

Step-by-step explanation:

: $\frac{6}{x} + 2x^{2} \\ \\\\ \frac{6}{3} + 2(3)^{2}\\\\\\2+2*9 =\\\\\\\\2+18=20$

5 0

3 years ago

Read 2 more answers

What to write it here

Orlov [11]

Answer:

84 degrees

Step-by-step explanation:

Angle A = 83 degrees

Angle B = x degrees

Angle C = 135 degrees

Angle CDE = 122 degrees

We know that the four inner corners of a quadrilateral should add up to 360 degrees. Two supplementary angles will add up to 180 degrees. Adjacent angles on a straight line will always be supplementary. Knowing this, just solve for <ADC and add that amount to <A and <C. Then, subtract that sum from 360 degrees.

<ADC = 180-122 = 58

58+83+135 = 276

360-276 = 84 degrees

7 0

2 years ago

The function f(x)= -6x+11 has a range given by {-37,-25,-13,-1}.Select the domain values of the function from the list 1,2,3,4,5

andreev551 [17]

The range is {-37,-25,-13,-1}. So you need to figure out what four numbers from this list of numbers (1,2,3,4,5,6,7,8), when applied to this
function, ( f(x)=-6x+11 ), equals these numbers that are in the range {-37,-25,-13,-1}.

So you apply each of these numbers (1,2,3,4,5,6,7,8) into the function (f(x)=-6x+11)
one by one.

f(1)=-6(1)+11=5
f(2)=-6(2)+11= -1
f(3)=-6(3)+11= -7
f(4)=-6(4)+11= -13
f(5)=-6(5)+11= -19
f(6)=-6(6)+11= -25
f(7)=-6(7)+11= -31
f(8)=-6(8)+11= -37
As you can see, f(2),f(4),f(6),and f(8) equal the numbers that are in the range {-37,-25,-13,-1}.

4 0

3 years ago

In a normal distribution what percent of values fall within one standard deviation of the mean?

Sophie [7]

The answer is given by the empirical rule, 68%.

8 0

3 years ago