Corinne is 6 years younger than her brother. Which of the following expressions shows the sum of their ages if b represents Corinne's brother's age?

Answers

Answer 1

Answer: From the given conditions above, if Corrine's brother's age is b, hers would be b - 6 given that she is 6 year younger. Adding b with b - 6 will give 2b - 6. Thus, the expression that shows the sum of their ages is 2b - 6.

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If (x, 1/100) lies on the graph of y = 10x, then x =

2
-1/2
-2

Answers

Answer:

Option 3rd is correct

value of x is, -2

Step-by-step explanation:

As per the statement:

If (x, 1/100) lies on the graph $y = 10^x$

Given the graph:

$y = 10^x$ ...[1]

Substitute the point (x, 1/100) in [1] we have;

$(1)/(100) = 10^x$

We can write $(1)/(100)$ as:

$(1)/(100) = (1)/(10^2) = 10^(-2)$

then;

$10^(-2) = 10^x$

On comparing both sides we have;

-2 = x

x = -2

Therefore, the value of x is, -2

y = 10^x

for y = 1/100

1/100 = 10^x

10^-2 = 10^x ⇒ x = -2

A boat costs $11,850 and decreases in value by 10% per year. How much will the boat be worth after 8 years?A. $4,590.93

B. $11,770.00

C. $25,401.53

D. $5,101.04

Answers

Answer:

The boat worth is $5101.04 after 8 years .

Option D is correct .

Step-by-step explanation:

The decrease exponential function is written in the form

$y = a (1 - r)^(t)$

Where a is the initial value , r is the rate of interest in the decimal form and t is the time in years .

As given

A boat costs $11,850 and decreases in value by 10% per year .

a = $ 11850

10% is written in the decimal form

$= (10)/(100)$

= 0.10

t = 8 years

Put all the values in the function

$y = 11850(1 - 0.10)^(8)$

$y = 11850(0.9)^(8)$

$y = 11850* 0.430467$

y = $5101.04

Therefore the boat worth is $5101.04 after 8 years .

Option D is correct .

11,850 x .9 = 11,605

11605 x . 9 = 9,598.5   year 2

9,598.5 x .9 = 8,638.65

8,635 x .9 = 7,774.785 year 4

7,774.785 x .9 = 6,997.31

6,6997.31 x .9 = 6297.58   year 6

6297.58 x .9 = 5,667.82

5,667.82 x .9 = 5,101.04 year 8

The answer is D

Carrie rolls 2 fair dice and adds the results from each.Work out the probability of getting a total more than 9.

Answers

Answer:

it is a 1 in 4 chance

Step-by-step explanation:

8 is the out come with more than 9 and 36 is the total number of out comes

joses credit card statement says that he owes $324. he charges an additional $63, $21, and $75. how much those he owe now?

Answers

I think it would be -$483 he owes

A block has a volume of 0.07 m3 and a density of 3,500 kg/m3. What's the force of gravity acting on the block (and weight) in the air?

Answers

W = mass * acceleration
and the gravity acceleration is know as 9.81 m/s^2
so we need to calculate the mass ,
from the givens , mass = density * volume
m= 3500*0.07 = 245 kg
subs. in W = m*g ,
W= 245 * 9.81
W = 2403.45 N

Answer:

The Correct answer to this question for Penn Foster Students is: 2401 N

Step-by-step explanation:

While visiting in New York City, Monica rode in an Uber. The Uber driver charged her a fixed fee of $8 plus $4 for each mile she rode. Which equation could Monica have used to calculate the total cost in dollars as a function of the distance traveled, in miles, m? In addition, what is the range of the function for a maximum 5 mile taxi ride? f of m = 8(m) plus 4, Range: , 0, symbol, f of m, symbol, 28 f of m = 4(m), Range: , 0, symbol, f of m, symbol, 28 f of m = 4(m) plus 8 Range: , 8, symbol, f of m, symbol, 28 f of m = 4(m) plus 12, Range: , 0, symbol, f of m, symbol, 5