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aleksandr82 [10.1K]
3 years ago
12

I need help solving question 56, 58 and 59.

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0

56a. 3000(1+.06)^5= 4014.67
56b. 3000(1+(.06/2))^5= 3477.82
56c. 3000(1+(.06/12))^5= 3075.75
56d. 3000e^(0.06•5)= 4049.57

58a. When placed in a scientific calculator and finding the ExpReg, you get the equation 50•2.828^x, so you take 2.828 and turn that in to a percentage so it’ll be about 2.83%.
58b. 50
58c. 50•2.828^t
58d. 50•2.828^4.5= about 5,378 bacteria
58e. Putting the equation and 50,000 into a graphing calcultor and finding the intersect of their graphs shows that after about 6.64 hours, the bacteria will reach that number.

59a. Set the equation to 150,000 (the triple of 50,000) and solve it, so it’ll start off as 50,000(1+(0.075/4))^x=150,000. The answer will be about 59.1 years.
59b. Do the same as the last question, except with the equation 50,000e^(0.075•x). The answer will be about 14.6 years.
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Q: Buy one, get the second half price!<br>Find the percentage reduction of this special offer.​
Oliga [24]

Answer:

get 1 … what? free? half-price? something else?

Let x= price of 1 item

Then 3x= price of 3 items

Buy 2 , get 1 free

Total cost =2x

Discount =3x−2x=x

Discount percentage =x/(3x)=0.333…=3313%

Buy 2 , get 1 half price

Total cost =2x+0.5x=2.5x

Discount =3x−2.5x=0.5x

Discount percentage =0.5x/(3x)=0.1666…=1623%

8 0
3 years ago
Write an equation of the line parallel to 3x+y=7 that goes from (-3,5) in slope intercept form.
Alik [6]
Y=-3x-4

Work:

Slope- -3

y-5=-3(x+3)
y-5=-3x-9
y=-3x-4
6 0
3 years ago
Find (fog)(-3).<br> f(x) = x + 5<br> g(x) = x2 + 1<br> (fog)(-3) =<br> Submit
pogonyaev
What does that x2 mean? 2x? or x^2?
8 0
3 years ago
Find the value of the missing variables.
dsp73

Answer:

x^{\circ}=35^{\circ}\\ \\y^{\circ}=55^{\circ}

Step-by-step explanation:

The measure of arc which the right triange cuts from the circle is 70^{\circ}, this means the central angle has the same measure.

Angle with measure x^{\circ} is inscribed angle subtended on the given arc. Its measure is half the measure of the central angle, hence

x^{\circ}=\dfrac{1}{2}\cdot 70^{\circ}=35^{\circ}

Angles with measures x^{\circ} and y^{\circ} are complementary angles (add up to 90°), so

y^{\circ}=90^{\circ}-35^{\circ}=55^{\circ}

6 0
3 years ago
Alex wrote the expanded form for the number 165.038 as "100 60 5 30 8." was he correct? if not, give the correct expanded form.
grin007 [14]

The expanded form for the number 165.038 is 100+60+5+0.03+0.008.

<h3>What is the expended form of decimal numbers?</h3>

Writing decimals in expanded form simply means writing each number according to its place value. This is done by multiplying each digit by its place value and adding them together. Let's look at an example: 2.435. In words, we would say this as two and four hundred thirty-five thousandths.

In the given question expended form 100+60+5+30+8 is wrong.

After decimal point the first digit is at the tenth place and second digit at the hundredth place and third is at the thousandth place and so on....

165.038  = 100+60+5+\frac{0}{10}+\frac{3}{100}+\frac{8}{1000}            

              = 100+60+5+0.03+0.008

Hence, The correct expended form of the given number is 100+60+5+0.03+0.008.

To learn more about expended form from the given link:

brainly.com/question/603715

#SPJ4

5 0
2 years ago
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