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3 years ago

Mandy bought a sweater that cost d dollars. She paid the clerk $40.00. Which expression shows her purchase?

Mathematics

1 answer:

ElenaW [278]3 years ago

3 0

Answer:

$40.00 - d

thats the expression

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If the surface area of a sphere is 100π cm^2, what is the radius?

IrinaK [193]

Surface area of sphere=100pi cm^2
4pi×r^2=100 pi
pi cancel on both sides
4×r^2=100
r^2=100/4
r^2=25
so r=5
So option b 5 cm is correct.

3 0

3 years ago

A forest ranger in a 110 ft observation tower sees a fire. The angle of depression is 12 degrees. To the nearest foot, what is t

Iteru [2.4K]

The distance from the tower to the fire is 529.10feet

<h3>Angle of depression</h3>

The distance from the tower to the fire is the hypotenuse of the resulting triangle

Given the following

Height of the tower = 110ft

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 12 = 110/H

H = 110/sin12

H = 110/0.2079

H = 529.10

Hence the distance from the tower to the fire is 529.10feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

7 0

3 years ago

3y + 8 + (-7y) +9 expression in an equivalent. a) -10y +1 b) -4y + c) -9y d) 3y

Gennadij [26K]

Answer:

Step-by-step explanation:

3y + 8 +(-7y) + 9 =

3y + 8 - 7y + 9 =

-4y + 17

8 0

3 years ago

How long will it take for an investment to triple, if interest is compounded continuously at 8%?

maw [93]

Answer:

<em>It will take 14 years before the investment triples</em>

Step-by-step explanation:

<u>Continuous Compounding</u>

Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.

The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:

$FV = PV\cdot e^{i.t}$

Where:

FV = Future value of the investment

PV = Present value of the investment

i = Interest rate

t = Time

It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.

Substituting the known values:

$3PV = PV\cdot e^{i.t}$

Dividing by PV:

$3 = e^{i.t}$

Taking logarithms:

$\ln 3=i.t$

Solving for t:

$\displaystyle t=\frac{\ln 3}{i}$

$\displaystyle t=\frac{\ln 3}{0.08}$

t = 13.7 years

Rounding up:

It will take 14 years before the investment triples

6 0

3 years ago

Choose the correct mathematical translation for the given statement.

Lunna [17]

X less than 70. not really sure what your asking but I'm pretty sure this is correct

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3 years ago