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2 years ago

7

Christian earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% co

mpounded annually. What will be his balance after 15 years?

1 answer:

kvasek [131]2 years ago

6 0

475 * (1.038)^15 = 831.10120562 = $831.10

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Recall the following study: Over a 17-year period researchers studied a sample of 707 individuals from a single community. They

IgorC [24]

Answer:

Hence the answer is option c ; poverty and neighborhood conditions

Step-by-step explanation:

From the research, it is well known that both the dependent variable and independent variable will be taken into consideration before arriving at a conclusion.

A dependent variable is the variable that is been studied or measured i.e the results of a scientific research.

An independent variable is a variable that is been altered or controlled for and whose effects are compared to the results of the dependent variable, as such the results of a dependent variable is dependent on the alteration of the parameters of an independent variable.

From the question ; the dependent variable is sample of 707 individuals from a single community while the independent variable ; the number of hours each individual spent watching television during adolescence and early adulthood.

The word confound in statistics implies a variable which has a greater effects on both the dependent and the independent variable.

Hence the answer is option c ; poverty and neighborhood conditions

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3 years ago

Please help with a math problem :/ Please show steps...<br><br> x^2 -13x = -36

Marianna [84]

X^2 - 13 x = -36
add 36 to both sides

x^2 - 13x +36 = 0
figure out the factor
(x-4)(x-9) = 0
so (x-4) or (x-9) equals 0
so solution is
x-4=0 add 4 to both sides and get x = 4
x-9=0 add 9 to both sides and get x=9
x={ 4, 9}

4 0

3 years ago

70 + x + 55 + 30 = 180

sergiy2304 [10]

Answer:

x=25

Step-by-step explanation:

First, we add all like terms. Then, we solve for x.

$70+x + 55 + 30 = 180\\x+70 + 55 + 30 = 180\\x+155=180\\x=25$

We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.

3 0

3 years ago

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A road perpendicular to a highway leads to a farmhouse located d miles away. An automobile traveling on this highway passes thro

pshichka [43]

Answer:

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

An automobile passes through the point of intersection with a constant speed $\frac{dx}{dt}$ = r mph

Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.

Then by Pythagoras theorem,

h² = d² + x²

By taking derivative on both the sides of the equation,

$(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=(x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=rx$

$\frac{dh}{dt}=\frac{rx}{h}$

When automobile is 30 miles past the intersection,

For x = 30

$\frac{dh}{dt}=\frac{30r}{h}$

Since $h=\sqrt{d^{2}+(30)^{2}}$

Therefore,

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}$

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

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3 years ago

Can someone answer this

givi [52]

Answer:

what grade is this lol I don't know

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2 years ago

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