exponential function models the annual rate of increase. Find the monthly and quarterly rates​

Exponential Function Models The Annual Rate Of Increase. Find The Monthly And Quarterly Rates

Answers

Answer 1

9514 1404 393

Answer:

  1.  monthly: 0.25%; quarterly: 0.75%

  2.  monthly: ≈ 0.45833%; quarterly: 1.375%

Step-by-step explanation:

In each case, the base of the exponential term is the annual growth factor. The annual growth rate (interest rate) is ...

  growth rate = growth factor - 1

Then the monthly rate is ...

  monthly rate = growth rate/12

and the quarterly rate is ...

  quarterly rate = growth rate/4

__

1. monthly rate = (1.03 -1)/12 = 0.03/12 = 0.0025 = 0.25%

  quarterly rate = (1.03 -1)/4 = 0.03/4 = 0.0075 = 0.75%

__

2. monthly rate = (1.055 -1)/12 = 0.055/12 ≈ 0.0045833 = 0.45833%

  quarterly rate = (1.055 -1)/4 = 0.055/4 = 0.01375 = 1.375%


Related Questions

Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $263.25

Enter an equation to model the relationship between the number of hours worked h and the amount earned e

The equation is:

Answers

Answer:

$9.75h=e-$263.25

Step-by-step explanation:

A construction worker earned $64 in a week. If he worked eight hours in one week, how much money did he earn per hour?

Answers

Answer:

X=8

Step-by-step explanation:

64 Divided by Eight equals Eight.

Because he worked eight hours that week and earned $64 so divide that up by eight then you got your answer.

9.14 you divide 64 by 7 since that’s a week plus you multiply 9.14 by 7 it give you 63.98

At a party, if 1/5 of one sheet
cake is uneaten and Tom eats
1/6 of the uneaten cake, what
fraction of the original cake
did Tom eat?

Answers

Answer:

Step-by-step explanation:

He eats 1/6 or 1/5 of the original cake.

All  you need to do to get the answer is multiply the denominators.

1/5 * 1/6 = 1/30

If there was something in the numerators. you would multiply them too.

So suppose the two fractions were 3/5 and 2/7

The answer would be 3 * 2 / 5 * 7 = 6 / 35

General rule

When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).

Malia and her sister walk at a constant rate of 4 miles per hour. At this constant rate, how long should it take Malia and her sister to walk 3 miles?
A. 0.75
B. 1.25
C. 1.5
D. 12

Answers

A is the answer as 3/4 is 0.75

can anyone help me please

Answers

part a) HI = 8 because the little arc on each angle indicated they are all equal lengths. So if GH is 8, HI is also 8.
part b) measure of angle K is 110 degrees because if we know that LK and KJ are both 11 on the side, the angles should be equal, so angle L should also be 35 degrees. Once we know two angles, just subtract them from 180 to find the third angle.
180-35-35 = 110

Pls help! And I will mark you as brainlist im not joking!

Answers

Answer:

[tex]third \: answer \\ if \: f(x) < 0 \\ - 6 < x < 2[/tex]

Determine whether the given value makes a true statement.
NO LINKS-DRIVES-DOCS ETC.
WILL MARK BRAINLYEST
EARN LOTS OF POINTS​

Answers

Answer:

Yes it is true

Step-by-step explanation:

cause 11 + 8 = 19

now give me the brainliest lol

What is the value of k?
k = 28
k = 29
k = 31
k = 42

Answers

Answer:

k=29

Step-by-step explanation:

we know that

-------> by supplementary angles

Solve for k

Combine like terms in the left side

Substract  both sides

Divide by  both sides

   

therefore

the answer is the option

B

 

The answer is 29
K is equal to 29

pls me with this maths assignment

Answers

Answer:

56ft

Step-by-step explanation:

5+4+12+11+16+8=56

The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the garden

Answers

Step-by-step explanation:

Given :-

The length of the garden 8m greater than 2 times the width.

Area of the garden is 280 m²

Let us consider the length as x and width as y.

Sp, we can day length as :-

x = 8 + 2y ---(1)

Now, we know that:-

Area of Rectangle = Length × Breadth

280 = x * y

We can replace the value of x now,

280 = y × ( 8 + 2y)

280 = 8y + 2y²

2y² + 8y - 280 = 0

y² + 4y - 140 = 0

Factorise it.

(y -10)(y + 14)

Cancelling -ve value, we get the width as 10 metres.

Hope it helps :)

Answer:

Step-by-step explanation:

Width = w

Length = 2w + 8

Area of rectangular garden = 280 square meter

length * width = 280

(2w + 8 ) *w = 280

2w * w + 8*w = 280

2w² + 8w = 280

2w² + 8w - 280 = 0

Divide the whole equation by 2

w² + 4w - 140 = 0      

w² + 14w - 10w - 14 *10 = 0

w(w + 14) - 10(w + 14) = 0

(w + 14)(w - 10)= 0

w - 10 = 0       {Ignore w + 14, as measurements will not be -ve}

w = 10 m

l = 2*10 +8

= 20 +8

l  = 28 m

Just need the answer

Answers

Answer:

It seems no one can eat just one potato ship

Step-by-step explanation:

5+5(6*7)Easy points cause I love y’all pur

Answers

tysmmm ilyyyyyyyyyyyyyyyy

a group of marine biologists on a marine Expedition recorded the altitudes which they found for animals which inequality correctly compares the altitudes of which they found the animals​

Answers

Answer:

garden eel < great white shark < sea urchin < sea turtle

Step-by-step explanation:

Shim bougth a pair of shoes fo $600.If she got a discount of 30% ,home much did she paid for the shoes?​

Answers

Answer:

she paid 420 dollars for it

Step-by-step explanation:

30 percent of 600 is 180

find the least whole number which must be added to 207 to make it divisible by 17 please no links brainliest​

Answers

Answer:

14

Step-by-step explanation:

I am preatty sure its 14 hope this helps

Por favor ayúdenme??
A
B
C
D

Answers

Answer:

ITS B!!! AY

Step-by-step explanation:

pleaseeeeeeee helppppppp

Answers

Answer:

138°

Step-by-step explanation:

69X2=138

In the polyhedron above x=5 mm, y=9 mm, and z=4 mm. The volume of the polyhedron is _____ mm3. Round your answer to the tenths place.

Answers

Answer:

180 mm³

Step-by-step explanation:

The polyhedron is an oblique rectangular prism

Area of the oblique rectangular prism = base area * height

height = z = 4 mm

Base area = L*W

L = y = 9 mm

W = x = 5 mm

Base area = 9*5 = 45 mm²

Area of the oblique rectangular prism = 45*4 = 180 mm³

What shape is the cross-section?
a. Triangle
b. Circle
c. Ellipse
d. Hexagon
e. Square
f. Rectangle
g. Pentagon

Answers

its a circle.. but looks like an oval

Simplify the expression Z^0⋅(Z^2⋅Z^−5)^4 using positive exponents
possible answers:
a.)Z^81
b.) 0
c.) 1/Z^12
d.) 1/Z^40

Answers

Jajabhsuababahaisiajnq

Find the cost of 6 kg rice, if the cost of 10 kg rice is 325 rupees .​

Answers

Answer:

195 rupees

Step-by-step explanation:

10kg=325 rupees

6kg=?

Cross multiplication;

=6×325/10

=1950/10

=195 rupees

The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will the car be worth each of the following amounts?
(a) $8000
(b) $6000
(c) $1000
- The car will be worth $8000 after years.
(Type an integer or a decimal rounded to the nearest tenth as needed.)

Answers

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

[tex]V(t) = 14651(0.81)^{t}[/tex]

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

[tex]V(t) = 14651(0.81)^{t}[/tex]

[tex](0.81)^t = \frac{V(t)}{14651}[/tex]

[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]

(a) $8000

V(t) = 8000

[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]

The car will be worth $1000 after 12.7 years.

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE TODAY I NEED HELP ASAP
A restaurant has a 15% mandatory tip rate.

(a) Complete the ratio table shown. Show your work.

Pre-Tax Bill ($): 10 __ 60 __

Tip ($) __ 12 __ 15


(b) Using the table, how can you find the total tip paid on $70?

Answers

Answer:

Subtotal 70.00

15% Tip 10.50

Total 80.50

Step-by-step explanation:

1% 0.70

2% 1.40

3% 2.10

4% 2.80

5% 3.50

6% 4.20

7% 4.90

8% 5.60

% Tip

9% 6.30

10% 7.00

11% 7.70

12% 8.40

13% 9.10

This dude above is trash and wrong, I got a 0 because of him

Please help it needs me to find the volume but what is the height supposed to be?

Answers

Answer:

a=3

b=16.6

Step-by-step explanation:

a= 198 square inches

(4.4 x 12) + (6x8) + (8x12)

A random sample of students was surveyed on what they eat for lunch at school. The results are shown in the table
below.
Lunch Item
Number of Students
Pizza
52
Salad
26
Burger
30
Chicken Sandwich
48
Brought lunch from home
44
If the school has 1,000 students, about how many students can the cafeteria expect to buy pizza?
208
1,000
260
52

Answers

Answer:

260

Step-by-step explanation:

you would divide 52/200 because all the numbers added up is 200 and it comes out to 0.26 and the original number of students they wanted is 1,000 so look at those zeros and move the decimal 3 times and add the zero in the empty space to get 260.

A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy pizza is 260.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of the number of students to the number of total students can be written as,

Ratio = (Number of students)/(Number of total students)

Ratio = 52/(52+26+30+48+44) = 52/200

Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,

Number of students who prefer pizza = 1000 × (52/200) = 260

Hence, the number of students the cafeteria should expect to buy pizza is 260.

Learn more about Ratios:

https://brainly.com/question/1504221

#SPJ2

Students in a school are asked to pick either football, rugby or tennis to play in their lesson.

The number of students who picked football and rugby are in the ratio of 5:4
The number of students who picked rugby and tennis are in the ratio of 12:25

125 students picked tennis.Work out how many students picked football.

Answers

Step-by-step explanation:

let x be rubgy liked let y football liked

x/125=12/25

ansx=60

again

y/60=5/4

ans y=75

football liked students are 75

Marisol rolled a six-sided number cube 200 times. Her results are in the table shown.
what is the experimental probability of Marisol rolling a 5? Answer the answer as a percent.

Answers

Answer:

18%

step by step explanation:

36/200 × 100=18

Answer:

3/10

Step-by-step explanation:

the answer is 3/10 hope this helps may i be marked brainliest?

ANSWER AND STEPS PLEASE

A container that holds wheat is shaped like a cone. The diameter of the base of the container is 21 and 3/4 feet, and the height of the container is 10.3 feet.

Which measurement is closest to the volume of the container in cubic feet?

Answer choices:

A. 15,307.55 ft3

B. 1,275.63 ft3

C. 5,102.52 ft3

D. 3,826.89 ft3

Answers

Answer:

answer is b.

Step-by-step explanation: use formula

V=1/3(hπr²)

so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3

the answer to your question is going to be letter b

⚠️URGENT PLS HELP

LINKS WILL BE REPORTED

Answers

Answer:

e and c

Step-by-step explanation:

I need an answer! pls ill brainlist

Answers

Answer:

die

Step-by-step explanation:

so in order to die you must die

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