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AysviL [449]
3 years ago
12

What is the volume of the pyramid? PF

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0
Volume = 1/3 * area of base * height
            = 1/3 * 11^2 * 12
            = 484 cm^3
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Brooklyn has a goal to save $8,000 to buy a new entertainment system. In order to meet that goal, she deposited $4,132.79 into a
densk [106]
To see how much interest she'll get after a quarter:

$4132.79 + ($4132.79 × 0.048) = $4331.16

After two quarters:
$4331.16 + ($4331.16 × 0.048) = $4359.06

You can keep going until eventually reaching $8000 then see how many quarters has passed. That's a lot of calculator work!

There's another way that uses less calculation, but more algebra. I call it the exponential formula method! There's this general formula for stuff that increases exponentially, like virus, population, and MONEY:

m= d {e}^{tc}

M is money, d is deposit, t is time taken, and c is just some unknown constant related to the interest rate. There's also the natural logarithm form of this equation, which will come in handy later:

ln( \frac{m}{d} ) = tc

Alright first we gotta find that constant c for this equation to be useful! Let's plug in stuff we know.

ln( \frac{4331.16}{4132.79} ) = (0.25)c

We know how much she'll have after one quarter (0.25 years), and we know how much she deposited initially.

After pressing some buttons on the calculator we'll find that c = 0.1875.

Great! Now we can use that formula to find how many years (t) it'll take to reach M=$8000. To save time I'm going to use the natural log form:

ln( \frac{8000}{4132.79} ) = t(0.1875)

That will give us t = 3.522 which means it'll take approximately 3.5 years for her deposit to reach $8000!
5 0
3 years ago
Read 2 more answers
What is the slope of this line?
olga2289 [7]

Answer:

3

Step-by-step explanation:

In the Slope-Intercept Formula, <em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em>,</em><em> </em><em>m</em><em> </em>is the <em>Rate</em><em> </em><em>of</em><em> </em><em>Change</em><em> </em>[<em>Slope</em>]. Anyway, starting from the <em>y-intercept</em><em> </em>of [0, 2], move 3 units <em>north</em><em> </em>over 1 unit <em>east</em><em>.</em><em> </em>That is called <em>rise</em><em>\</em><em>run</em><em> </em><em>→</em><em> </em>3\1 = 3.

I am joyous to assist you anytime.

7 0
3 years ago
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If someone type an average of 63 words per minute. how many word can they type in 135 minutes?
Rasek [7]
8505. You would do 63 times 135 to get 8505
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3 years ago
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Which graph best represents the equation 2x + 4y equals negative 8
Hitman42 [59]
You have to solve for y
Subtract 2x to the other side
Divide both sides by 4
y=-1x/2-2
Graph D has a slope of -1/2 and a y-intercept of -2
6 0
3 years ago
Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. A 6% tax is added by the waitress. If Mrs. Rodriguez wants to l
Elis [28]

Answer:

30.53

Step-by-step explanation:

24 x 1.06 = 24.44 (6% tax added to 24)

24.44 x 1.20 = 30.53 (20% tip added on top)

6 0
3 years ago
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