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Lynna [10]
3 years ago
7

A cone has a volume of 1,256 cubic centimeters. If the height of the cone is 12 centimeters, what is the radius of the base in c

entimeters?
Mathematics
1 answer:
luda_lava [24]3 years ago
5 0

Answer:

The radius 10 cm

Step-by-step explanation:

∵ The volume of the cone = 1/3 πr²h

∵ v = 1256 cm³

∵ h = 12 cm

∴ 1256 = 1/3 π (12) r²

∴ r² = 1256 × 3/12π = 100 cm

∴ r = √100 = 10 cm

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A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest
nlexa [21]

Answer:

$13,200

Step-by-step explanation:

You need to use the simple interest formula

I = P * r * t

I = Interest accrued

P = Principal amount invested

r = Interest rate          you need to divide by 100 to get it in decimal form

t = time, in years        if you are given a partial year, divide the months by 12

P = $12,000                                    

r = 7.5% = .075                                    

t = 1                                                  

But, because we want I to equal $990 then I is

I = $990

So we ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075        Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.

6 0
3 years ago
Can someone help me with this question please (brainiest and 50 points)
sergiy2304 [10]

Answer: Stephanie read more than 7 books because 8 points for 9 books each is equal to 72 points, which is the total amount of books she read.

Step-by-step explanation:

72 ÷ 8 × 9

x = 9

Hope this helped! :D

5 0
2 years ago
Read 2 more answers
Does anyone know how to solve this problem!?
Sunny_sXe [5.5K]

Answer:

D.

Step-by-step explanation:

329/8=41.125 you divide by 8 because its equivalent to 8 smaller units.

Then: 41.125 x 724=approx. 30,000

3 0
3 years ago
Please help me with this problem
sineoko [7]

Answer:

4

Step-by-step explanation:

\frac{ {3x}^{2} -2x + 7}{2x+5}  \\  \frac{3( - 1) {}^{2}  - 2( - 1) + 7}{2( - 1) + 5 }  \\  \frac{3 + 2 + 7}{ - 2 + 5}  \\  \frac{12}{3}  = 4

7 0
3 years ago
How do you solve <br> 2h + 8 &gt; 3h -6
babunello [35]

Answer:

h<14

Step-by-step explanation:

2h+8>3h-6

2h-3h+8>-6

-h+8>-6

-h>-6-8

-h>-14

h<14

6 0
2 years ago
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