4x = 37 311 127 77 328

Peggy was taking a timed 60-question test. She was able to correctly answer 90% of the questions but had to skip the rest. How m

marshall27 [118]

60 times .9 = how many done, which is 54

6 0

3 years ago

Question 1

Aleksandr-060686 [28]

Answer:

T5 = 512

Step-by-step explanation:

Given the sequence

2,8, 32, 128,...

The sequence is a geometric progression

nth term of a geometric progression is expressed as:

Tn = ar^n-1

a is the first term = 2

n is the number of terms = 5 (next term is the 5th term)

r is the common ratio = 8/2 = 32/8 = 4

Substitute and get the fifth term

T5 = 2(4)^5-1

T5 = 2(4)^4

T5 = 2*256

T5 = 512

Hence the next term is 512

7 0

2 years ago

Please help me with this and thank you

Rainbow [258]

Answer

is

1 ⅝

working :-

_________

8 / 13 \ 1

-8

____

5

= 1⅝

5 0

3 years ago

Find the amount to which $2,500 will grow if interest of 6.75% is compounded quarterly for 10

andreev551 [17]

Answer:

Part a

For this case n = 4. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{4})^{4*10}= 4882.506$

Part b

For this case n = 365. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{365})^{365*10}= 4909.776$

Step-by-step explanation:

We can use the future vaue formula for compound interest given by:

$A= P(1+ \frac{r}{n})^{nt}$

Where P represent the present value, r=0.0675 , n is the number of times that the interest is compounded in a year and t the number of years.

Part a

For this case n = 4. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{4})^{4*10}= 4882.506$

Part b

For this case n = 365. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{365})^{365*10}= 4909.776$

5 0

3 years ago

A tree casts a shadow at 27 meters long. A nearby post is 5 meters tall casts a shadow 3 meters long. How tall is the tree?

mr_godi [17]

Answer:

Find the post height first. 3/5= 0.8, so the shadow is 80% of the height of the object. Multiply 80% by 27 to get 21.6

The tree is 21.6 meters tall.

Step-by-step explanation:

4 0

3 years ago