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3 years ago

Lillian has $80 in a savings account. The interest rate is 10%, compounded annually.

1 answer:

5 0

She will have 96.8 dollars in the saving account so she earned 16.8 dollars in interest
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Plz I need help with the last 2 and plz simplify then

GalinKa [24]

Answer:

c) (8^6) / 8 = 32768

d) (7^8) / (7^6) = 49

Step-by-step explanation:

8 0

2 years ago

What is the sum of the first five terms of a geometric series with A1 equals 20 and R equals 1/4

sweet-ann [11.9K]

Sum = 20(1-(1/4)^5) / (1-1/4) = 26.64

6 0

3 years ago

For a sale, a store decreases its prices on all items 20%. An item that cost $120 before the sale now costs $120 - 0.2($120). Wh

tino4ka555 [31]

If the store decreases its prices by 20%, then ur actually paying 80%

0.80(120) <=== ur expression

lets check..
0.80(120) = 96
120 - 0.2(120) = 120 - 24 = 96 (yep, it matches)

4 0

3 years ago

A streetlight that is 8 feet tall casts a 3-foot-long shadow. A nearby flagpole casts a 15-foot-long shadow. What is the height

Brut [27]

Answer:

20 Feet

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The radius of a right circular cone is increasing at a rate of 1.5 in/s while its height is decreasing at a rate of 2.1 in/s. At

givi [52]

Answer:

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

Step-by-step explanation:

Geometrically speaking, the volume of the right circular cone ( $V$ ), in cubic inches, is defined by the following formula:

$V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h$ (1)

Where:

$r$ - Radius, in inches.

$h$ - Height, in inches.

Then, we derive an expression for the rate of change of the volume ( $\dot V$ ), in cubic inches per second, by derivatives:

$\dot V = \frac{1}{3}\cdot \pi \cdot (2\cdot r\cdot h \cdot \dot r + r^{2}\cdot \dot h)$ (2)

Where:

$\dot r$ - Rate of change of the radius, in inches per second.

$\dot h$ - Rate of change of the height, in inches per second.

If we know that $r = 120\,in$ , $\dot r = 1.5\,\frac{in}{s}$ , $h = 107\,in$ and $\dot h = -2.1\,\frac{in}{s}$ , then the rate of change of the volume is:

$\dot V \approx 8670.796\,\frac{in^{3}}{s}$

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

8 0

3 years ago