Which of the following is true?

Susan deposits $1,200 in an account that earns 8% simple interest annually.

spayn [35]

interest = principal x rate x time

interest = 1344-1200 = 144

principal = 1200

rate = 8% = .08

144 = 1200 x .08 x Time

Time = 1.5 yrs

3 0

4 years ago

How would you represent the expression 36 – 3(4) on the number line shown?

zaharov [31]

Answer:

D. Begin at 36 and move four units to the left three times

Step-by-step explanation:

The given expression is 36 - 3(4)

It means "it starts with 36 less 3 times 4."

Here "less" means we have to move to the left

Therefore, the answer is "D. Begin at 36 and move four units to the left three times"

Thank you.

5 0

3 years ago

Read 2 more answers

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modelled by the function C(t)=8(e

Alexxx [7]

Answer:

the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

Step-by-step explanation:

We are given the following information:

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in $\mu g/mL$

$C(t) = 8(e^{(-0.4t)}-e^{(-0.6t)})$

Thus, we are given the time interval [0,12] for t.

We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.

First, we differentiate C(t) with respect to t, to get,

$\frac{d(C(t))}{dt} = 8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)})$

Equating the first derivative to zero, we get,

$\frac{d(C(t))}{dt} = 0\\\\8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0$

Solving, we get,

$8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0\\\displaystyle\frac{e^{-0.4}}{e^{-0.6}} = \frac{0.6}{0.4}\\\\e^{0.2t} = 1.5\\\\t = \frac{ln(1.5)}{0.2}\\\\t \approx 2$

At t = 0

$C(0) = 8(e^{(0)}-e^{(0)}) = 0$

At t = 2

$C(2) = 8(e^{(-0.8)}-e^{(-1.2)}) = 1.185$

At t = 12

$C(12) = 8(e^{(-4.8)}-e^{(-7.2)}) = 0.059$

Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

4 0

3 years ago

The sum of 3 times the value of x and 2 is equal to four less than five times the value of x. Which equation can be used to find

bonufazy [111]

The question has omitted options but i will solve, so you will just check my answer from the options you have.

Answer: The equation to find the value of x = 3x+ 2= 5x-4

The value of x= 3

Step-by-step explanation:

Step 1

The sum of 3 times the value of x and 2 is equal to four less than five times the value of x can be expressed as

3x+ 2= 5x-4

Step 2

Solving this equation to find the value of x , we have that

3x+ 2= 5x-4

3x-5x= -4-2

-2x= -6

x= -6/-2

x=3

5 0

3 years ago

Bernard is organizing a dinner for 28 students. The costs for each part of the dinner are shown. Bernard thinks the event will c

svetlana [45]

The DINNER STUDENTS because it has 13per

3 0

3 years ago