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hram777 [196]
2 years ago
6

Molly opened a savings account to save for a bicycle. She deposited the same amount of money each week. At the end of 18 weeks,

she had saved $331.56. How much money did Molly deposit into her account each week?
Mathematics
1 answer:
Bogdan [553]2 years ago
8 0

Answer:

Weekly deposit= $18.42

Step-by-step explanation:

Giving the following information:

Number of weeks= 18

Total amount of money= $331.56

She deposited the same amount of money each week.

<u>To calculate the weekly deposit, we need to divide the total savings by the number of weeks:</u>

Weekly deposit= 331.56 / 18

Weekly deposit= $18.42

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Jeanne makes hair bows to sell at the craft fair. Each bow requires 1.5 yards of ribbon.
UkoKoshka [18]

Answer:

a) 378 foot

b) 3780¢

c)10^3\times 2^1\times 3^3\times 7^1

Step-by-step explanation:

Given: Ribbon required to make 1 bow = 1.5 yards

We know that 1 yard = 3 foot

a) Number of bows Jeanne wants to make = 84

Foot of ribbon required to make 84 bows

= Number of bows Jeanne wants to make × Ribbon required to male 1 bow

= 84 × 1.5 yards

= 126 × 3 foot = 378 foot

Thus, Jeanne requires 378 foot of ribbon to make 84 bows.

b) Cost of ribbon = 10¢ per foot

Total money required to buy ribbon

= Cost of ribbon × Amount of ribbon required in foot

= 10 × 378

= 3780.00¢

c) Number of bows manufacture wants to make = 84 × 1000

= 84,000 bows

Amount of ribbon required to make bows

= 1000 × Amount of ribbon required to make 84 bows

=  1,000 × 378 = 378000 foot

To write it in exponential form:

378000 = 10^3\times 2^1\times 3^3\times 7^1

8 0
2 years ago
Which points are solutions to the linear inequality y &lt; 0.5x + 2? Check all that apply.
marusya05 [52]
Are you given choices?
Plug in the x- and y-coordinates of the given points.
The ones that make the inequality true are solutions.
4 0
2 years ago
Read 2 more answers
1. A food safety guideline is that the mercury in fish should be below 1 part per million​ (ppm). Listed below are the amounts o
Sauron [17]

Answer:

The confidence interval estimate of the population mean is :

(0.61 ppm, 0.90 ppm)

The correct option is (A).

Step-by-step explanation:

The amounts of mercury​ (ppm) found in tuna sushi sampled at different stores in a major city are:

S = {0.58, 0.82, 0.10, 0.98, 1.27, 0.56, 0.96}

A (100-\alpha )\% confidence interval for the population mean (μ) is an interval estimate of the true value of the mean. This interval has a (100-\alpha )\% probability of consisting the true value of mean.

⇒ Since the population standard deviation is not provided we will use the <em>t</em>-distribution to construct the 99% confidence interval for mean.

⇒ The formula for confidence interval for the population mean is:

                                          \bar x\pm t_{\alpha/2,(n-1)}\times \frac{s}{\sqrt{n}}

Here,

\bar x = sample mean

<em>s </em>= sample standard deviation

<em>n</em> = sample size

t_{\alpha/2,(n-1)} = critical value.

The degrees of freedom for the critical value is, (<em>n</em> - 1) = 7 - 1 = 6.

The significance level is: \alpha =1-Confidence\ level=1-0.99=0.01

The critical value is:

t_{\alpha/2,(n-1)}=t_{0.01/2, 7}=t_{0.05,7}=3.143

**Use the <em>t</em>-table for the critical value.

Compute the sample mean and sample standard deviation as follows:

\bar x=\frac{1}{7}(0.58+ 0.82+ 0.10+ 0.98+ 1.27+ 0.56+ 0.96) =0.753

\int\limits^a_b {x} \, dx s=\sqrt{\frac{\sum (x{i}-\bar x)^{2}}{n-1} } =\sqrt{\frac{1}{6} \times 0.859743} =0.379

The 99% confidence interval for μ is:

x^{2} CI=0.753\pm 3.143\times\frac{0.379}{\sqrt{7}} \\=0.753\pm0.143\\=(0.61, 0.896)\\\approx(0.61, 0.90)

The confidence interval estimate of the population mean is:

(0.61 ppm, 0.90 ppm)

The upper and lower limit of the 99% confidence interval indicates that the true mean value is less than 1 ppm. This implies that there is not too much mercury in tuna sushi

Because it is possible that the mean is not greater than 1 ppm. Also, at least one of the sample values is less than 1 ppm, so at least some of the fish are safe.

Thus, the correct option is (A).

6 0
3 years ago
A sales man is paid a basic wage of $225 per week. In addition he is paid a commission of 3% on the value of goods he sells abov
mihalych1998 [28]

Answer:

Commission = $375

Total earnings = $600

Step-by-step explanation:

He gets 3% of any sale he makes above %5500 which means his commission received on this sale is;

= 3% * $12500

= \frac{3}{100} * $12500

= 3* 125

= $375

This means his total earnings for the week will be the basic wage plus his commission

$225 + $375

= $600

3 0
3 years ago
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE
EleoNora [17]

Answer:

0, 10

Step-by-step explanation:

The given function is:

g(y) = \frac{y-5}{y^2-3y+15}

According to the quotient rule:

d(\frac{f(y)}{h(y)})  = \frac{f(y)*h'(y)-h(y)*f'(y)}{h^2(y)}

Applying the quotient rule:

g(y) = \frac{y-5}{y^2-3y+15}\\g'(y)=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}

The values for which g'(y) are zero are the critical points:

g'(y)=0=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}\\(y-5)*(2y-3)-(y^2-3y+15)=0\\2y^2-3y-10y+15-y^2+3y-15\\y^2-10y=0\\y=\frac{10\pm \sqrt 100}{2}\\y_1=\frac{10-10}{2}= 0\\y_2=\frac{10+10}{2}=10

The critical values are y = 0 and y = 10.

5 0
3 years ago
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