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dimaraw [331]
3 years ago
9

A person places $8890 in an investment account earning an annual rate of 7.7% compounded continuously using the formula v=pert w

here v is the value of the account in t years p is the principal initially invested e is the base of a natural logarithm and r is the rate of interest determine the amount of money to be nearest cent in the account after 3 years
Mathematics
1 answer:
34kurt3 years ago
5 0

Answer:

11200.15

Step-by-step explanation:

P=8890

t=3

V=Pe^rt

V=8890e^0.077(3)

V=8890e^0.231

V=11200.15

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If you wanted to create a sidewalk from your front door to the street, how much cement would you need if your sidewalk were goin
jek_recluse [69]

It’s simple you just multiply all three numbers 20*3*4=240

6 0
3 years ago
If the outliers are not included, what is the mean of the data set? 76, 79, 80, 82, 50, 78, 83, 79, 81, 82 (2 points) Select one
wlad13 [49]
Hello!

As you can see, 50 is the outlier, as it is not around the other numbers in the data set. Therefore, we will calculate the mean of all the numbers if we add up all the numbers and divide by 9.

(76+79+80+82+78+83+79+81+82)÷9=80

The mean of this data set (excluding the outlier) is 80.

I hope this helps!
6 0
3 years ago
Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.
Katarina [22]
To find the perimeter, you add up all the sides. 

11 + 5 + 13 = 29

29 inches is the perimeter. 
7 0
3 years ago
What values of c and d make the equation true?
saul85 [17]

Answer:

Third option.

Step-by-step explanation:

You need to cube both sides of the equation. Remember the Power of a power property:

(a^m)^n=a^{mn

\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d

According to the Product of powers property:

(a^m)(a^n)=a^{(m+n)

Then. simplifying you get:

162x^cy^5=162x^6y^{(3+d)}

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6,  then the exponent of "x" on the left side must be 6. Therefore:

c=6

You can notice that the exponent of "y" on the left side is 5,  then the exponent of "x" on the left side must be 5 too. Therefore "d" is:

3+d=5\\d=5-3\\d=2

4 0
4 years ago
Artie's dad's house is 21 ft tall. If Artie's dad is at the top of the house installing shingles, and his son Artie is on the gr
konstantin123 [22]

Answer:

B. 60.26°

Step-by-step explanation:

Given:

Consider the diagram representing the above scenario.

The top of the house where dad is standing is at A. The point where his son is standing is B. The bottom of the house is at C. AC is the height of house, BC is the distance between the house and son.

Height of the house (AC) = 21 ft

Distance between the house and son (BC) = 12 ft

Let the angle of depression for the dad be 'x'.

From the figure, it is clear that,

Angle of depression of the dad will be same as angle of elevation of Artie.

For triangle ABC,

\tan x=\frac{AC}{BC}\\\\\tan x=\frac{21\ ft}{12\ ft}\\\\\tan x=1.75\\\\x=\tan^{-1}(1.75)\\\\x=60.26

Therefore, the angle of depression  from the top of the house to the spot where Artie is standing is 60.26°.

Therefore, the correct option is option (B).

6 0
3 years ago
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