To compare investments, analysts convert monthly, quarterly, semiannual rates to annual rates. If an investment of $100,000 is invested at 4.5% twice a year, compounded semiannually, the growth can be modeled by the equation A(t) = 100,000(1.045)2t. What is the equivalent annual growth rate for this investment (rounded to the nearest hundredth of a percent) and what is it worth (rounded to the nearest thousand dollar) after 15 years?

2.23% and $139,000
15.01% and $194,000
9.21% and $375,000
9.01% and $364,000

Step-by-step explanation:

y=-2x+2

hence the gradient is -2

gradient of perpendicular line

m1m2=-1

-2m2=-1

2m2=1

m2=1/2

so equation when m=1/2

m(x-x1)=y-y1

0.5(x-0)=y-1

0.5x-0=y-1

0.5x+1=y hence this is the equation

Answer:

a= 5[tex]\sqrt{2}[/tex]

b=5

Answer:

a) $141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

b) $244.4

Step-by-step explanation:

The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.

Required:

a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.

If a customer uses 330 minutes, the monthly cost will be $141.5.

y = mx + b

$141.5 = 330m + b

If the customer uses 890 minutes, the monthly cost will be $337.5.

$337.5 = 890m + b

Combining the equations

$141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

b. Use your equation to find the total monthly cost if 624 minutes are used

Combining the equations

$141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

We Subtract Equation 2 from 1

-196 = -560m

m = -196/-560

m = 0.35

$337.5 = 890m + b..... Equation 2

$337.5 = 890 × 0.35 + b

$337.5 - 311.5 = b

b = 26

When x = 624

y = 624× m + b

m = 0.35 , b = 26

y = 624 × 0.35 + 26

y = 218.4 + 26

y = $ 244.4

Answer:

As you forgot to mention the diagram. I was able to find the diagram. Hence, I am attaching and solving the question based on that diagram, which anyways would clear your concept.

Answer:

we conclude that the segment AB was dilated by scale factor 3.

Step-by-step explanation:

From the diagram, it is clear that the original points A and B are located

at (0, 2) and (2, 3) respectively.

i.e.

As the coordinates of the dilated segment A'B' are given as:

A scale factor is basically a number that multiplies an object or quantity.

For instance, the 'D' in [tex]y = Dx[/tex] is the scale factor for x.

If the equation were y = 7x, then the factor would have been 5.

As the coordinates of the dilated segment A'(0, 6) and B'(6, 9) are 3 times the coordinates of the original segment A(0, 2) and B(2, 3).

i.e.

A(0, 2)  → (0×3, 2×3) = A'(0, 6)

B(2, 3) → (2×3, 3×3) = B'(6, 9)

Therefore, we conclude that the segment AB was dilated by scale factor 3.

Answer:

Segment AB was dilated by scale factor 3.

Step-by-step explanation:

The person above is correct tahnk you!!!

Answer:

D, 32

Step-by-step explanation:

First input all the numbers. Then do what’s inside the parenthesis first then multily by 12. lastly divide that number by 2.4

Answer:

32

Step-by-step explanation:

[tex]\frac{12(4+2.4)}{2.4}\\\frac{12(6.4)}{2.4} \\ \frac{76.8}{2.4}=32[/tex]

1800 meters of fencing is required to enclose a field.

Given that, the dimension of the field is 300 meters by 600 meters.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Now, the perimeter of the rectangular field=2(600+300)

=2×900=1800 meters.

Therefore, 1800 meters of fencing is required to enclose a field.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/2142493.

#SPJ2

Answer:

New volume on this is 480 cubic inches

Step-by-step explanation:

The volume of a rectangular prism is area of base * height

That would be;

l * b * h = lbh

we have all this as 60

Doubling all, we have

2l * 2b * 2h = 8lbh

Recall lbh = 60

So 8lbh = 8 * 60 = 480 cubic inches

Answer:

First we add four point five plus twelve and we get sixteen point five, and so now we subtract fifty-five minus sixteen point five and we get our answer.

Answer: 62.5

Step-by-step explanation:

Hope this helps!

:)

Answer: 16a + 13b

Step-by-step explanation: combine like terms:

7a + 9a

8b +4b +b

= 16a + 13b

Answer:

16a + 13b

Step-by-step explanation:

7a + 9a = 16a

Remember: a number without coefficent is 1

8b + 4b + b = 13b

Answer:

$2.25 per movie

Step-by-step explanation:

3(4)= $12

$12-$3= $9

$9/4= $2.25

No picture given for this problem. Repost.

Answer:

put them in order

Step-by-step explanation:

1/2+2-3=309y6

Answer:

448 miles

Step-by-step explanation:

Amy's car can hold 15 gallons of gas. Provided that each gallon can drive her 32 miles. This means that 15 gallons can drive her 480 miles.

15 gallons x 32 miles = 480 miles

However, she needs to keep 1 gallon of gas in the tank for safety reasons. So we have to subtract 1 gallon from 15 gallons.

15 gallons - 1 gallon = 14 gallons

Now, let's compute again.

14 gallons x 32 miles = 448 miles

Amy can drive 448 miles before she needs to fill up the tank again.

answer: hey lol*sharts loudly*

Step-by-step explanation:

you just need to use the bathroom next time;))))

Answer:

=(m2p+−2r7)(m+−5p4r2)

=(m2p)(m)+(m2p)(−5p4r2)+(−2r7)(m)+(−2r7)(−5p4r2)

=m3p−5m2p5r2−2mr7+10p4r9

=10p4r9−5m2p5r2−2mr7+m3p

Step-by-step explanation:

:D

Answer:A) 58% and B) 42%

Step-by-step explanation:

Plz brainliest: I’m almost an expert plz

Answer:

The total is $28.50

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

The answer is "np(1+p)".

Step-by-step explanation:

[tex]N_1[/tex] = Number of n tossed heads  

According to [tex]N_1[/tex], Y = amount of [tex]N_1[/tex] tossing heads

So, [tex]N_1[/tex]~ Bin(n, p) and [tex]N_2[/tex] | [tex]N_1[/tex] ~ Bin([tex]N_1[/tex], p)

[tex]E(N_1+N_2) & = E\Big[N_1+N_2\vert N_1\Big]\\ &[/tex]

                   [tex]= E(N_1)+E\Big[N_2\vert N_1\Big]\\\\ & = E(N_1) + E(N_1\,p)\\\\ & = np + np.p \\\\ =np+np^2\\\\ =np(1+p)[/tex]

Answer:

y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.

Step-by-step explanation:

The general equation of a parabola is:

y = ax² + bx + c

So we have to solve for a, b and c to get our equation with the 3 given points.

When x = 0 and y = 3 we have

3 = a(0)² + b(0) + c, this means c = 3

When x = 4 and y = 15

15 = a(4)² + b(4) + 3 we have

16a + 4b = 12 which is

4a + b = 3

When x = 5 and y = 33 we have

33 = a(5)² + b(5) + 3 we have

25a + 5b = 30 which gives

5a + b = 6.

We have two equations

4a + b = 3

5a + b = 6

Eliminating b we have

a = 3, substituting a = 3 in the first equation we have

4(3) + b = 3

12 + b = 3

b = –9

Our equation therefore is:

y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.

Answer:

7%

Step-by-step explanation:

300/21 is 0.07, and 0.07 in percent form is 7%

Answer:

(1,5) and (2,1)

Step-by-step explanation:

we can count the graph which has given in red circle

The answer is -12 percent

Answer:

12%

Step-by-step explanation:

Just do 12% it is correct the other one is wrong

Answer:

x=-4 x=2

Step-by-step explanation:

BRAINLIEST PLS

Answer:

Step-by-step explanation:

Answer:

y-intercept(0, -9)

Step-by-step explanation:

Answer:

what is it asking

Step-by-step explanation:

Answer:

True.

Step-by-step explanation: