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4 years ago

Withdrawing $10 every week from an outstanding balance of $400

Mathematics

2 answers:

a_sh-v [17]4 years ago

6 0

Answer:

400- 10x

Step-by-step explanation:

yanalaym [24]4 years ago

5 0

I dont know what you want to know but that would take 40 weeks till you run out of money.

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A drive way is 40 yards long. About how many meters lobg is it

olganol [36]

About 36.6 metres long

6 0

3 years ago

Read 2 more answers

A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 209 times. The observed freque

ddd [48]

Answer:

Step-by-step explanation:

Given that the observed frequencies for the outcomes as follows:

To check this we can use chi square goodness of fit test.

$H_0: equally likely\\H_a: not equally likely$

(Two tailed test at 5% significance level)

Assuming equally likely expected observations are found out and then chi square is calculated as (0-E)^2/E

Df = 6-1 =5

Outcome Frequency Expected frequency (Obs-exp)^2/Exp

1 36 34.83333333 0.03907496

2 30 34.83333333 0.670653907

3 41 34.83333333 1.091706539

4 40 34.83333333 0.766347687

5 23 34.83333333 4.019936204

6 39 34.83333333 0.498405104

209 209 7.086124402

p value =0.214

Since p >alpha, we accept null hypothesis

It appears that the loaded die does not behave differently than a fair die at 5% level of significance

5 0

3 years ago

A copy machine repairman makes $12.50 per hour plus $4 for every service call he performs. Last week he worked 34 hours and made

Anon25 [30]

z=total pay
x=hours
y=service calls

7 0

3 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago

Bryan earns $7.50 per hour working at mcdonalds and $6.00 per hour mowing lawns. Last week he worked 40 hours and earned $282. H

scoundrel [369]

Answer:

12 hr. mowing lawns

28 hr. working at Mc Donalds

Step-by-step explanation:

Let t = time mowing lawns

then 40 - t = time working at McDonalds

7,5(40 - t) + 6t = 282

300 - 7.5t + 6t = 282

-1.5t = -18

t = 12 hr. mowing lawns

40 - t = 40 - 12 = 28 hr. working at Mc Donalds

8 0

3 years ago