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4 years ago

What digit should go in the box to make the following statement true 63.749<63._2

Mathematics

2 answers:

allochka39001 [22]4 years ago

3 0

The digit should be 8 or 9.

RUDIKE [14]4 years ago

3 0

The digit should be 8 or 9 to make the following statement true.

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If the interest rate is 7%, how many years will it take for your bank balance to double from $1,000 to $2,000?Enter the followin

svlad2 [7]

Answer:

It will take 14.29 years for your bank balance to double from $1,000 to $2,000.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

If the interest rate is 7%, how many years will it take for your bank balance to double from $1,000 to $2,000?

We have that $P = 1000, I = 0.07$

We want to find t when E = 1000, so $T = P + E = 2000$ .

$E = P*I*t$

$1000 = 1000*0.07*t$

$t = \frac{1}{0.07}$

$t = 14.29$

It will take 14.29 years for your bank balance to double from $1,000 to $2,000.

8 0

3 years ago

Frank purchased a boat for $7,525. He made a down payment of $475. He applied for a six-year installment loan with an interest r

zhenek [66]

Answer:

$10,603.20

Step-by-step explanation:

You can calculate the simple interest of the loan using the formula:

I = prt, where I = interest, p = principal amount, r = interest rate and t = time. Plugging in the values from the problem:

p = $7,050

r = 8.4% or 0.084

t = 6 years

I = (7050)(0.84)(6) = $3,553.20

To find the total cost of the boat, add the interest and the purchase price:

$7,525 + $3,553.20 = $11,078.20

8 0

3 years ago

Given the point (3,4 ) and the slope of 6 ,find y when x=27.

Irina-Kira [14]

Work shown above! y = 148

6 0

4 years ago

Fizzy Waters has been involved in multiple lawsuits regarding the alkaline substance concentration in their product and getting

ser-zykov [4K]

Answer:

Step-by-step explanation:

For the sample, n = 12

Mean, x = (158.2 + 162.8 + 161.5 + 161.2 + 166.5 + 160.1 + 158.4 + 175.6 + 159.9 + 168.8 + 161.9 + 163.7)/12 = 163.22

Variance, s² = (summation(x - mean)²/n

Summation(x - mean)² = (158.2 - 163.22)^2 + (162.8 - 163.22)^2 + (161.5 - 163.22)^2 + (161.2 - 163.22)^2+ (166.5 - 163.22)^2 + (160.1 - 163.22)^2 + (158.4 - 163.22)^2 + (175.6 - 163.22)^2 + (159.9 - 163.22)^2 + (168.8 - 163.22)^2 + (161.9 - 163.22)^2 + (163.7 - 163.22)^2 = 273.5368

Variance, s² = 273.5368/12 = 22.79

This is a test for a single variance. We would set up the test hypothesis.

For the null hypothesis,

H0: σ² ≥ 25

For the alternative hypothesis,

H1: σ² < 25

The formula for determining the test statistic,x² is

x² = (n - 1)s²/σ²

Where n - 1 is the degree of freedom, df.

df = 12 - 1 = 11

x² = (11 × 22.79)/25 = 10.0276

For a test of 90% reliability, Confidence level = 0.9

Cl = 1 - alpha(level of significance)

alpha = 1 - 0.9 = 0.1

The critical value from the chi-square distribution table is 17.28. Since 17.28 > 10.0276, we would reject the null hypothesis. Therefore, the filling machine does not need repair because the variance of the process is not more than 25 oz.

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3 years ago

Kerry is planning to plant a rectangular garden that is 16 feet longer than it wide. Kerry wants to find its width if its area i

trapecia [35]

I think it is A. I hope Im correct.

4 0

3 years ago

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