7400 dollars is placed in an account with an annual interest
rate of 6%. To the nearest year, how long will it take for the
account value to reach 19200 dollars?

Answers

Answer 1

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

[tex]x^y=z\\log_xz=y[/tex]

which means that

[tex]log_{1.06}2.594=n[/tex]

Solve and get

16.362

which rounds to 17


Related Questions

Can y’all help me with number 1

Answers

Answer:c

Step-by-step explanation:

Answer:

The answer would be B.

I need help with this.
I need to find both A and B, I’m just lost at this point

Answers

They both look to be at 100 degrees

9. DOG WALKING Evan, a dog walker, charges $3 every block that he walks a dog. He also charges a $5 pick up fee when he comes to get a dog. How many blocks will he need to walk a dog in order to earn $26? Write an equation and solve the equation.

Answers

Answer:

Evan will have to walk 7 blocks

Step-by-step explanation:

Evan will have to walk 7 blocks because he gets $5 from picking up the dog, so subtract 5 from 26 to get 21. Next, you want to divide 21 by 3 to get 7 because $3 a block and you need to find how many blocks he needs to do.

What is the measure of angle B?

A. 75
B. 60
C. 30
D. 38

Answers

Step-by-step explanation:

a = 180-117 = 63

180- (81+63) = 36

Given the first term and the common ratio of a geometric
sequence find the first five terms and the explicit formula. a1
= 0.8, r= −5

Answers

Answer:

nth term = 0.8 * -5^(n - 1)

First five terms are: 0.8, -4,

20, -100, 500

Step-by-step explanation:

First term, a1 = 0.8

Common ratio, r = -5

a1 = 0.8

Second term = ar

= 0.8 * -5

= -4

Third term = ar²

= 0.8 * -5²

= 0.8 * 25

= 20

Fourth term = ar³

= 0.8 * -5³

= 0.8 * -125

= -100

Fifth term = ar⁴

= 0.8 * -5⁴

= 0.8 * 625

= 500

First five terms are: 0.8, -4,

20, -100, 500

nth term = ar^(n - 1)

= 0.8 * -5^(n - 1)

nth term = 0.8 * -5^(n - 1)

someone help me please!

Answers

Answer:

1) 44 toilet rolls

2) 15 packs

3) 72 yogurts

4) 4 packs

Step-by-step explanation:

1) 4 x 11 = 44 in 11 packs

2) 60÷4= 15 packs

3) 12 ×6= 72

4)42÷12=3.5=4

Please write a persuasive essay on why parents are more important than peers.​

Answers

Some points you could make are:
Disclaimers: some of these points count if everyone has good parents
Parents always have their child’s best interest in mind (not always but for this scenario well imagine)
Parents can help counteract peer pressure
Parents will always be there for their child
Parents influence a child’s values

Use the portion of the periodic table shown below to answer the questions.

A portion of the first three columns of the periodic table is shown. Column one from top to bottom reads 11 sodium 22.990, 19 potassium 39.098, and 37 rubidium 85.468. Column two reads 12 magnesium 24.305, 20 calcium 40.078, and 38 strontium 87.62. Column three reads 21 scandium 44.956 and 39 yttrium 88.906.

Part 1: Name two elements that have the same properties as magnesium (Mg). (4 points)
Part 2: Determine the number of protons, electrons, and neutrons present in an atom of potassium (K). Explain how you determined your answer using complete sentences. (6 points)

Answers

Part 1:

Calcium(Ca) And Strontium (Sr)

Part 2:

Protons: 19

Electrons: 19

(both are the same)

Neutrons:20

Subtract 19 From 39 And Get 20

If You Use This Pls Put it in your own words

Also Sorry if I'm late!

PLEASE HELP!!!
A rabbit population can increase at a rapid rate if left unchecked. Assume that 10 rabbits are put in an enclosed wildlife ranch and the rabbit population triples each year for the next 5 years as shown in the table.

Part A: Let y represent the number of rabbits after x years. Which function can be used to model y as a function of x, where x is a non-negative number?

A.
y = 3(10)x

B.
y = 3(10)x-1

C.
y = 10(3)x-1

D.
y = 10(3)x

Answers

Answer: y=10(3)^x

Step-by-step explanation:

if you graph it it's the only one that has the matching table values to the one shown in the question.

• 1.Find the scale factor of a blueprint if the scale is 3 inches = 6 feet.
A. 1
B. 24
C. 3
D. 72

Answers

Answer:

B

Step-by-step explanation:

Answer: B. 24 (as a fraction: 1/24)

In △ A B C , the measure of angle A is 103 ° and the measure of angle B is 37 ° . What is the measure of angle C ?

Answers

Step-by-step explanation:

103° + 37° + < C = 180° { being sum of angles of triangle }

< C = 180° - 140°

< C = 40°

Hope it will help :)

4.58 grams=________ Milligrams

Help ASAP!!!!!!!!!!

Answers

4.58 grams in milligrams is 4580 hope it helps :)

HELP NEEDED ASAP PLZZZZZZ

Michele is making a kite based on the pattern below. About how much binding does Michele need to cover the edges of the kite?

Answers

Answer:

about 52.1 in.

Step-by-step explanation:

PM=PE=5 inches, PR=4 inches, and OP=19 inches.

Since the figure is a kite, the diagonals ME and OR are perpendicular and form right triangles with their hypotenuses forming the sides of the kite, OM, MR, RE, and EO.

The figure shows the same kite O M R E as in the beginning of the task. Diagonal O R is perpendicular to diagonal M E.

Use the Pythagorean Theorem to calculate the length of OM.

OM=OP2+PM2−−−−−−−−−−√

Substitute 19 for OP and 5 for PM.

OM=192+52−−−−−−−√

=361+25−−−−−−−√

=386−−−√

Therefore, OM=386−−−√ in.

By the definition of a kite, OM≅EO. So, EO is also equal to 386−−−√ inches.

Use the Pythagorean Theorem to calculate the length of MR.

MR=PM2+PR2−−−−−−−−−−√

Substitute 5 for PM and 4 for PR.

MR=52+42−−−−−−√

=25+16−−−−−−√

=41−−√

Therefore, MR=41−−√ in.

By the definition of a kite, MR≅RE. So, RE is also equal to 41−−√ inches.

The figure shows the same kite O M R E as in the beginning of the task. Sides O M and E O are square root of 386 inches long. Sides M R and R E are square root of 41 inches long.

The perimeter of the kite is the sum of the four sides.

Perimeter of OMRE=OM+MR+RE+EO

=386−−−√+41−−√+41−−√+386−−−√

=2386−−−√+241−−√

Use a calculator to approximate.

Perimeter of OMRE≈52.1 in.

So, the perimeter of OMRE is about 52.1 inches.

Therefore, about 52.1 inches of binding are needed to cover the edges of the kite.

help plz!!!!!!!!! (pic below)

Answers

Answer:

k = 13.5

Step-by-step explanation:

Since 3 * 3 = 9

And 3 * 4 = 12

Then 3* 4.5 = 13.5

As the statement goes, "Triangle XYZ is similar to Triangle ABC."

K=13.5

Hope this helps you homie



if anna sliced a pizza into 18 pieces and there's 5 people how much do they he all get

Answers

Answer:

3.6 slices

Step-by-step explanation:

Answer:

18 divided by 5 is 3.6 so each person will get 3.6 of the pizza.

In the diagram below, AC intersects ABDE at B. Choose True or False for each statement

Answers

Answer:

false, true . false

Step-by-step explanation:

if u want an explanantion you can ask me :)

Answer: a. True b. True c. False

Explanation:

a. 65+25 =90 complementary angles add up to 90°

b. 65 + b + 25 = 180

90 + b = 180

b = 180 - 90

b = 90

Check-

65 + 25 + 90 = 180

90 + 90 = 180

180 = 180 ✅

c.not vertical angles because they aren’t across from eachother

2. Evalute (3a +6b)³​

Answers

Answer:

Here you go Hope it helps!!

Step-by-step explanation:


• The corresponding angle measures are ________

Answers

Answer:

two lines are crossed by another line (called the Transversal): The angles in matching corners are called Corresponding Angles. In this example, these are corresponding angles:

Step-by-step explanation:

A composite figure is formed by combining a square and a triangle. Its total area is 57.5 ft2. The area of the triangle is 32.5 ft2. What is the length of each side of the square? Complete the explanation. The area of the square is ft2, so each side of the square is ft.

Answers

Answer:

Area of square = Composite Area - Area of Triangle

                         =    32.5  - 7.5  = 25

Area of square = 25 square feet.

Formula for area of square = s²

s²  = 25

s = √25

s = 5

Length of each side of square = 5 feet.

Question:

A composite figure is formed by combining a square and a triangle. Its total area is 31.5 ft2. The area of the triangle is 15.5 ft2. What is the length of each side of the square? Complete the explanation.

Answer:

The area of the square is  16 ft², so each side of the square is  4 ft.

PLSS HELP. WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT FIRST

Answers

Answer:

it is a linear graph ‍♂u think that at what distans he do read page in a hour

-6 >-2 – 9x
Solve for x

Answers

Answer:

x > 0.44

Step-by-step explanation:

-6 >-2 – 9x

9x > 4

x > 0.44444444

about 0.44

Drake buys a ring that costs $8,000, which depreciates at a rate of 9.5% per year.
What is the value of Drake's ring after 7 years? Round to the nearest cent.

Answers

Answer:

$1129.93

Step-by-step explanation:

100 - 9.5 = 90.5

8000 - 90.5 = 7909.5

7909.5 ÷ 7 = 1129.93

i hope this helps

Pls help me with this work

Answers

Answer:

They are similar because they both have like terms in parenthesis.

Step-by-step explanation:

As long as you have like terms, the equation is the same. You never have to worry about the number before the variable being the same. As long as the variable is the same, you have like terms and that is like terms in the equation. TO SUM IT UP: They both have like terms and that is why they are similar.

2/3x - 7 < 9
help please

Answers

Answer:

x<24

*the answer will be incorrect if you meant 2/(3x) instead of (2/3)x

Step-by-step explanation:

First, add 7 to both sides of the inequality to get "2/3x<16." Then multiply both sides by 3 to get "2x<48." Finally, divide both sides by 2 to get "x<24"

what is the solution of the system of equations 2x-3y=-9 -x+3y=6

Answers

Answer:

the answer to the question is (6,10)

Step-by-step explanation:

The top of a building is a cone 10 meters tall with a radius of 4 meters at the base. Round to the nearest hundredth.

Answers

Answer:

V = 167.55 m³

Step-by-step explanation:

Given that,

The height of a cone, h = 10 m

Radius of the cone, r = 4 m

It can be assumed to find the volume of the cone. Th formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\pi \times (4)^2\times 10\\\\V=167.55\ m^3[/tex]

So, the required volume is 167.55 m³.

Which of the following equations has exactly one real solution?
A.
2(x + 14) = 2x + 28
B.
7x + 14 = −2x − 17
C.
2x + 14 = 2x + 14
D.
7x + 14 = 7x − 17

Answers

Answer:

Option A

Step-by-step explanation:

2(x+14)=2x+28

2x+28=2x+28

IT HAS REAL SOLUTION :)

PLZZ MARK ME AS BRAINLIEST

In this function, if the value of r were to increase, would the value represented by P also increase or stay the same? Why? Explain your answer using terms such as "rate of growth" and "initial value" in the context of the coin problem.

Answers

Answer:

P will remain the same

Step-by-step explanation:

Given

[tex]V(t) = P(1 + r)^t[/tex] --- Coin value formula [Missing from the question]

Required

What happens to p when r increases

The coin value function is an exponential function which is of the general  form:

[tex]y = a(1 + b)^x[/tex]

From the given function: [tex]V(t) = P(1 + r)^t[/tex]

P represents the initial value and r represents the rate

The rate of change (r) and the initial value (P) of a function are both independent, and they do not depend on one another for their values.

An increment or decrement in r will not affect the value of P.

Conclusively, when the rate (r) changes, the initial value (P) will remain the same.

I will give brainlits and start pls help




Graph the equation y = 3x - 3 using slope and y-intercept.
6
5
y
4
3
N
1
0
-1
-2
الفا
4
-5
-6
-5
-2
-4
-1
0 1
-3
2
5
2
6
3
á
?
y = 3x - 3

Answers

Step-by-step explanation:

(0,-3) and (1,0) this are the point

HELP DUE IN 10 MINS! Kayla decided to try parasailing. She was strapped into a parachute towed by a boat. An 800 foot line connected her parachute to the boat, which was at a 32 degree angle of depression below her. How high above the water was Kayla? Round to the nearest foot.

feet=??

Answers

Answer:

424 ft

Step-by-step explanation:

Answer:

424 feet is the answer rrrr

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