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2 years ago

When Yosef was born, his parents put $1000 into a savings account that earns 4%

Mathematics

1 answer:

deff fn [24]2 years ago

7 0

Answer:

$840 interest

Step-by-step explanation:

4% of 1000 is 40

40•21= 840

If you are adding the interest rate and the $1000 together then you get $1840

Hope this helps

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A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet to the nearest whole unit what is

RideAnS [48]

Check the picture below.

$\bf \textit{total surface area of a cone}\\\\
SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
-------\\
r=17\\
\sqrt{r^2+h^2}=12
\end{cases}
\\\\\\
SA=\pi (17)(12)+\pi (17)^2\implies SA=204\pi +289\pi \implies SA=493\pi$

8 0

3 years ago

Write the limit definition of a function of x

ollegr [7]

Answer:

the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

Step-by-step explanation:

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3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

2 years ago

Rename 200 tens into hundreds

Arlecino [84]

2 hundreds be cause there are 2, and you are trying to find hundreths so take the first number

4 0

3 years ago

What is 5000 rounded to the nearest hundred

Vlada [557]

The next larger hundred is 5,100 .
The next smaller hundred is 4,900 .
5,000 is exactly midway between 4,900 and 5,100.
Neither of them is closer to 5,000 than the other one is.
So 5,000 is already rounded to the nearest hundred.

4 0

3 years ago

Read 2 more answers