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3 years ago

12

Carlos can read 30 pages per hour in the 270-page book that he is reading. at this rate, how long will it take him to finish the

book?

1 answer:

devlian [24]3 years ago

8 0

I hope this helps you

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Question #6 I can't figure it out.

stepan [7]

6 x 9 = 54
I think the know facts are 18 and 36, because they are the only basic numbers 6 and 9 can go into.

6 0

3 years ago

Pedro Pascal wants to have $15,000 in an account after five years. He found a bank that will offer him a 7.5% interest rate, com

Juli2301 [7.4K]

<u>Answer-</u>

He needs to put $10345 in the account today, in order to get 15000 in five years.

<u>Solution-</u>

We know that,

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

Where,

A = future value of the investment with interest = 15000

P = principal investment amount

r = annual interest rate (decimal) = 7.5% = 0.075

n = number of times that interest is compounded per year = 4

t = the number of years the money is invested = 5

Putting the values,

$15000=P(1+\frac{0.075}{4})^{4 \times 5}$

$\Rightarrow P=\frac{15000}{(1+0.01875)^{20}} =\frac{15000}{1.01875^{20}} =\frac{15000}{1.45} =10344.8 \approx 10345$

6 0

3 years ago

Leona [35]

Answer:

The initial temperature of the object was 37.6

Step-by-step explanation:

we have

$f(t)=Ce^{(-kt)} +20$

where

f(t) represent the temperature of the object in degree Celsius

t is the time in minutes

Find the value of the constant C

we have the ordered pair (4,35)

substitute in the equation and solve for C

$35=Ce^{(-0.0399*4)} +20\\Ce^{(-0.0399*4)}=15\\C=15/e^{(-0.0399*4)}\\C=17.6$

Find the initial value of the object

we know that

The initial temperature is the value of f(t) when the value of t is equal to zero

so

For t=0

$f(0)=(17.6)e^{(-k*0)} +20\\f(0)=17.6 +20\\f(0)=37.6$

therefore

The initial temperature of the object was 37.6 (I not include units)

7 0

3 years ago

Find the x-intercept and the y-intercept of the line above

Liono4ka [1.6K]

Answer:

(a): x-intercept: -4

(b): y-intercept: -1

Step-by-step explanation:

5 0

3 years ago

60 POINTS!!!! PLEASE HELP URGENT

sammy [17]

Using linear combination method to solve the system of equations 3x - 8y = 7 and x + 2y = -7 is (x, y) = (-3, -2)

<h3><u>Solution:</u></h3>

Given that, a system of equations are:

3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)

We have to solve the system of equations using linear combination method and find their solution.

Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.

Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.

4x + 8y = -28 ⇒ (3)

Now, add (1) and (3)

3x – 8y = 7

4x + 8y = - 28

----------------

7x + 0 = - 21

7x = -21

x = - 3

Now, substitute "x" value in (2)

(2) ⇒ -3 + 2y = - 7

2y = 3 – 7

2y = - 4

y = -2

Hence, the solution for the given two system of equations is (-3, -2)

3 0

3 years ago