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kipiarov [429]
3 years ago
5

The following is a geometric sequence. - 1/2 , 1/4, -1/8 , 1/16 true false

Mathematics
1 answer:
seraphim [82]3 years ago
6 0

Answer:

True

Step-by-step explanation:

It has a common ratio of -1/2

Each term after the first is obtained by multiplying the previous one by -1/2:-

-1/2 * 1/2 = 1/4 ;  1/4 * -1/2 = -1/8  and so on.

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Mia had $500 in her account after 5 years. If she got an
irina [24]

Answer:

The initial amount in the account is $333.33

Step-by-step explanation:

Here, we want to calculate the initial amount in the account.

Let the initial amount be $x

Mathematically;

Simple interest = PRT/100

where P is the amount deposited = $x

R is the rate = 10%

T is the time = 5 years

Simple interest = Present amount - Principal = $(500-x)

By substituting;

500-x = (x * 10 * 5)/100

100(500-x) = 50x

50,000 - 100x = 50x

50,000 = 100x + 50x

150x = 50,000

x = 50,000/150

x = 333.33333333

Which to the nearest penny ; x = $333.33

6 0
3 years ago
How to change .365 to a percent
KATRIN_1 [288]
Multipl .365 by 100 and you get 36.5%
3 0
3 years ago
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The radius of a sphere is measured to be 3.0 inches. If the measurement is correct within 0.01 inches, use differentials to esti
Zarrin [17]

Answer:

ΔV = 0.36π   in³

Step-by-step explanation:

Given that:

The radius of a sphere = 3.0

If the measurement is correct within 0.01 inches

i.e the change in the radius Δr = 0.01

The objective is to use differentials to estimate the error in the volume of sphere.

We all know that the volume of a sphere

V =  \dfrac{4}{3} \pi r^3

The differential of V with respect to r is:

\dfrac{dV}{dr }= 4 \pi r^2

dV = 4 πr² dr

which can be re-written as:

ΔV = 4 πr² Δr

ΔV = 4 × π × (3)² × 0.01

ΔV = 0.36π   in³

5 0
3 years ago
If the volume of a cube is 125 cm", what is its surface area?
Sedbober [7]

Answer:area is 150 cm

Step-by-step explanation:

3 0
2 years ago
How do you divide a whole number by a decimal? Example 9.00 divided by 6.75
sammy [17]

Answer to the example is 1.3 repeating

Step-by-step explanation:

The number we divide by is called the divisor. To divide decimal numbers: Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's.

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3 years ago
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