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Tamiku [17]
2 years ago
12

A woman takes 12 equal-sized steps. She walks a total of 10 yards

Mathematics
1 answer:
kiruha [24]2 years ago
3 0

Answer:

Each step is 30 inches

Step-by-step explanation: One yard is 36 inches. 10 yards is 360 inches.

360 divided by 12 is 30.

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A principal of $3500 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 13 years? Us
Anna71 [15]
The equation is for when you compound annually is
A=P(1+r)^t

A=future amount
P=initial amount or principal
r=interest rate in decimal form
t=time in years



so
A=A
P=3500
r=7.5%=0.075
t=13

A=3500(1+0.075)^{13}
A=3500(1.075)^{13}
use your calculator
A=8961.4457
round to nearest dollar
A=$8961

that's how much the investment will be worth after 13 years
7 0
3 years ago
Given m parallel to I, and m2 7 = 94, find the measure of angle 5
mote1985 [20]

Answer:

97

Step-by-step explanation:

3 0
3 years ago
Consider the polynomial p(x) = x^3 + 4x^2 + 6x − 36.
Nady [450]

Answer:

a. attached graph; zero real: 2

b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

Step-by-step explanation:

p(x) = x³ + 4x² + 6x - 36

a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.

p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0

b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.

2 |  1     4     6    -36

     1      6    18     0

x² + 6x + 18 = 0

Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²

√Δ = 6i

x = -6±6i/2 = 2(-3±3i)/2

x' = -3-3i

x" = -3+3i

p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

4 0
3 years ago
A basketball hoop has a circumference of 144 cm.what is its diameter
levacccp [35]
Formula\ for\ circumference \ of\ circle:\ \ \ 2 \pi r\\\\
144= 2 \pi r\ \ \ \ | divide\ by\ 2 \pi\\\\
r=\frac{72}{\pi}cm\\\\diameter=2radius\\\\
diameter=2r=2*\frac{72}{\pi}=\boxed{\frac{144}{\pi}}
8 0
3 years ago
a retailer buys a radio from the wholesaler for $75.he then marks up the price by 1/3 and sells it at a discount of 20%.what was
soldier1979 [14.2K]
He makes it up by 1/3=.333%=$75*1.333=$99.98
he then discounts it by 20%=1/5=99.98/5=$19.99
If the original profit is $99.98-$75=$24.98
and then discounted by $19.99
it would be $24.98-$19.99
=
$4.99
3 0
3 years ago
Read 2 more answers
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