What number is 1/6 of 100?

Answers

Answer 1

Answer: CORRECT ANSWER: 96.6666666667.......96
CORRECT SOLUTION: (of means ×)
1/6×100/1=100/6
100/6=improper fraction
16×6=96....100-96=4
AS FRACTION: 16 4/6 ⇒ 16 2/3

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An element with Mass 630 grams decays by 18.8% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?

Answers

Answer:

146.6 grams

Step-by-step explanation:

We have been given an element with Mass 630 grams decays by 18.8% per minute.

We will use exponential decay function to solve our given problem.

$y=a\cdot (1-r)^x$ , where,

y = Final amount,

a = Initial amount,

r = Rate of decay in decimal form,

x = Time.

$18.8\%=(18.8)/(100)=0.188$

Substitute the given values:

$y=630\cdot (1-0.188)^7$

$y=630\cdot (0.812)^7$

$y=630\cdot 0.232751347$

$y=146.633349$

$y\approx 146.6$

Therefore, 146.6 grams of the element is remaining after 7 minutes.

$630 * {81.2}^(7)$
1.5

Scott has $82.50 in his checking account after he wrote checks to pay bills for $37.96, $52.00, $12.26, and $96.36. How much was in his checking account before he paid his bills

Answers

Answer:

If im correct its $281.08

Step-by-step explanation:

So i added all the numbers

$37.95+$52.00 (etc.)

Then i added the first number to the total

$82.50+$198.58 ( those are all the numbers i added at the beginning.)

Then it should equal $281.08

He had $281.08 before he paid his bills.

A particular shade of paint is made by mixing 5 parts red paint and 7 parts blue paint. To make this shade, Shannon mixed 12 quarts of blue paint with 8 quarts of red paint. Did Shannon mix the correct shade? 20 POINTS!!

Answers

no, she didn't because 5:7 and 12:8 are not equivalent ratios

I don’t know the correct answer please

Answers

Answer:

x < -2

y > 1

Step-by-step explanation:

x < -3 + y

*x + y > -1

(-3 + y) + y > -1

-3 + 2y > -1

2y > -1 + 3

2y > 2

y > 1

*x < -3 + y

x < - 3 + (1)

x < -2

Kelly opened a bank account that earns 1.2% simple interest each year. After 7 years, Kelly will earn $126 in interest. How much did Kelly deposit when she opened the account?

Answers

Answer:

13.4 dollars

Step-by-step explanation:

The final amount is given by:

F=I(1+rt)

Where

I= initial amount

r= interest rate

t= time interval

F= final amount

Now in our case

r= 1.2

t= 7

F= $126

Therefore I=F/(1+rt) = 126/(1+1.2*7) = 13.4 dollars.

Final answer:

To find out how much Kelly deposited when she opened the account, we can use the formula for simple interest. We are given that the interest earned is $126 and the interest rate is 1.2% per year. After assigning a variable to represent the principal, we can solve the equation to find the amount Kelly deposited.

Explanation:

To find out how much Kelly deposited when she opened the account, we can use the formula for simple interest:

Interest = Principal × Rate × Time

We are given that the interest earned is $126 and the interest rate is 1.2% (or 0.012 as a decimal) per year. We also know that Kelly kept the money in the account for 7 years. Let's assign a variable, P, to represent the principal:

$126 = P × 0.012 × 7

To solve for P, we can divide both sides of the equation by 0.012 × 7:

P = $126 / (0.012 × 7)

Calculating this expression gives us the value of P, which is the amount Kelly deposited when she opened the account.