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mr_godi [17]
3 years ago
8

An investment of$5000 doubles in value every decade. The function, where x is the number of decades, models the growth of the va

lue of the investment. How much is the investment worth after 30 years?
Mathematics
1 answer:
prohojiy [21]3 years ago
7 0
40,000
Explanation
5000 10 year later is know 10000
10000. 10 years later is know 20000
20000 10 years later is know 40000 which is 30 years total
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Alan wants to buy a bike that has a regular price of $169. This week the bike is on sale at a 35% discount.
sammy [17]

Answer:

Alan can buy the bike for $109.85

Step-by-step explanation:

Start with 100% and subtract the 35% discount.  This results in 65%.  The bike sells for 65% of $169, which is calculated as follows:

0.65($169) = $109.85

Alan can buy the bike for $109.85 under the terms of this sale.

6 0
3 years ago
"A gumball machine is in the shape of a sphere with a radius of 6 inches. A store manager wants to fill up the machine with mini
krek1111 [17]
So Volume (V) of a sphere is:
V =  \frac{4}{3} \pi {r}^{3}
so essentially we need to divide the machine's Volume (V) the gumball volume (v)
V =  \frac{4}{3} \pi {r}^{3}  = \frac{4}{3} \pi {(6)}^{3}  \\ V =  \frac{4}{3}(216) \pi  = 288\pi
v =  \frac{4}{3} \pi {( \frac{1}{3} )}^{3}  =  \frac{4}{3} \times  \frac{1}{27}  \pi  \\ v =  \frac{4}{81} \pi
now we divide V by v:
V/v =  \frac{288\pi}{ \frac{4\pi}{81} }  =  \frac{288}{1}  \times  \frac{81}{4}  = 5832
so b) 5,832 gumballs can fit in the machine

4 0
3 years ago
"Find the midpoint of AB .
Diano4ka-milaya [45]

Answer:

The midpoint of AB = (x,y)=(1,1)

Step-by-step explanation:

Given : A line AB

To find : Midpoint of AB.

Solution :

Consider the figure


Then , Points of A =    (x_{1} ,y_{1} )   = (-2,0)


Points of B =    (x_{2} ,y_{2} )   = (4,2)


Now to find mid point we will use midpoint formula :


(x,y) =(\frac{x_{1} +x_{2} }{2},\frac{y_{1} +y_{2} }{2} )


(x,y) =(\frac{-2 +4 }{2},\frac{0 +2 }{2} )


(x,y) =(\frac{2 }{2},\frac{2 }{2} )


(x,y) =(1,1 )


Thus, The midpoint of AB = (x,y)=(1,1)






7 0
3 years ago
Read 2 more answers
How is solving for the length different from solving for the length of the hypotenuse?
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Memorize the side ratios of a 45-45-90 right triangle.
The ratio between the sides of this triangle is 1:1:Sqrt(2), which means that the length of the legs are equal, and the length of the hypotenuse is simply the leg length multiplied by the square root of two.
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10<br> B<br> с<br> 63°<br> 9<br> A<br> D<br> What is the perimeter of ABCD?<br> perimeter =
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The perimeter is 38 , As you can see each of the sides provided also have another side across from it that’s equal to the length, therefore you you double the size of the sides that were given , and add them two together.
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