A person invests 8000 dollars in a bank. The bank pays 4.75% interest compounded daily. To the nearest tenth of a year , how long must the person leave the money in the bank until it reaches 20400 dollars?

Answers

Answer 1

The number of days for which the money is left to reach the 20,400$ mark is; 21.28 days

Compound interest

The final amount to be reached is; $20400

The principal amount is; $8,000 and at. rate of 4.75 % compounded.

Hence, it follows that;

20400 = 8000(1+0.045)^(x)

Divide both sides of the equation by 8000; we have;

20400/8000= 1.045^(x)

2.55 = 1.045^(x)

Take log of both sides;

x = 0.4065/0.0191

x = 21.28 days.

Read more on compound interest;

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Related Questions

50 POINTS!!!! HELP ASAP!!!

Answers

Answer:

18 sales

Step-by-step explanation:

1020-300=720

720/40

=18 sales in that particular  week

Answer:

Step-by-step explanation:

Really Easy Points!!!
-
Define potential

Answers

Potential is what an individual is capable of doing or becoming

Answer:

Having or showing the capacity to develop into something in the future is called potential

[tex]x+2y\leq 10,x+y\leq 3[/tex]

Answers

what do you need to do? evaluate the function? solve the system of inequalities? please let me know so i can help!!!

Elena writes the equation 6x+2y=12. Write a new equation that has:
no solutions in common with Elena's equation

PLEASE HELP ME FAST!!

Answers

6x-2y=12 the wording is very strange

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is A, “Obtuse triangle.”

Brenda is given a budget of $1100 to remodel her bedroom. It will cost her $12 for each can of paint she buys. If she wants to have $850 leftover to buy new furniture, how many cans of paint can she buy?​

Answers

Answer:

20

Step-by-step explanation:

please rate 5 stars and thank it and make brainliest

hope this helps have a good day

HELP PLEASE:

WORK IS BELOW

Answers

Answer:

Diagram not visible!

Step-by-step explanation:

You must ask question again; then, the rightful person may help you.

Good day to you!

what is the mean of 28,34,34,50,54

Answers

Answer:

40

Step-by-step explanation:

the mean is 40 because you add all the numbers then divide them by however many numbers there are.

can someone please help me with the 3 problems? ​

Answers

Answer:

1. s-110=-124

+110

s=-14

2. 4 gallons

3. 96 oz

Hope This Helps!!!

Seventy percent of what number is 35?

Answers

Seventy percent of fifty (50) is 35

What is the percentage?

The percent or percentage of a number is the division of the number with 100.

From the given information, we are being told that 70% of a number is 35.

Let's assume that the unknown number is: (x)

It means that:

70% of x = 35

[tex]\mathbf{(\dfrac{70}{100})x = 35}[/tex]

0.7x = 35

Divide both sides by 0.7

x = 35/0.7

x = 50

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Can u help me with this

Answers

Answer:

6

Step-by-step explanation:

each tomato=4

7-4=3 so each avocado is 3

5-3=2 so each lime is two

so 4+2=6

Answer:

6

Step-by-step explanation:

Tomato + tomato = 8  ⇒  tomato = 4

Avocado + tomato = 7 ⇒  Avocado = 7 - 4 = 3

Avocado + Lemon = 5  ⇒  Lemon = 5 - 3 = 2

Therefore, Lemon + tomato = 2 + 4 = 6

use multiplcation to solve the proportion. b/65 = 7/13​

Answers

Answer:

b = 35

Step-by-step explanation:

Use the butterfly method (Cross multiply):

b × 13 = 13b

65 × 7 = 455

So you would have:

13b = 455

Divide both sides by 13.

You will get b = 35

Hope this helps!

Answer: b=35

Step-by-step explanation:

[tex]\frac{b}{65}=\frac{7}{13}[/tex]

Multiply both sides by 65:

[tex]\frac{65b}{65}=\frac{7\cdot \:65}{13}[/tex]

[tex]b=35[/tex]

A sequence of steps for solving the equation 3(x - 2) = 4 is shown. Match a property to each blank box to show the reason for each step.

Answers

Step-by-step explanation:

1. 3(x-2)=4

2. 3x-6=4

3x=10

4.x=10/3

Please help me with this math problem!! NO LINKS PLEASE!! Will mark brainliest!! :)

Answers

Answer:

2

f(x)= -x + 1

2

g(x) = -x + 6x +5

2

h(x)= +ax + bx -c ( its form should be like that )

Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and
cows he saw. Let X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?

Answers

Answer:

y= 43

x= 37

Step-by-step explanation:

Legs: (43 x 4) + (37 x 2) = 248

Heads: 43 + 37 = 80

Bev has to trim her grandma's grass this weekend and wants to know exactly how much area she will be trimming. Calculate the area of the polygon. Be sure to show all your work and explain your answer.

Answers

Answer:

150 ft²

Step-by-step explanation:

If you take that triangle and place it on the other side you get a normal rectangle and can just multiply 15 By 10

PLEASE HELP AND NO LINKS PLEASE

Answers

Answer:

x ≤ 4

Step-by-step explanation:

x ≤ 4

A closed circle means ≤ or ≥

An open circle means < or >

As the shaded area is to the left of 4,   x ≤ 4

What is the greatest perfect square that is less than 55

Answers

Answer:

[tex]\sqrt{49}[/tex]

Step-by-step explanation:

[tex]\sqrt{49} =7[/tex]

The square root of 49, which is the greatest perfect square that is less than 55.

A perfect square that is the nearest, greater perfect square to [tex]\sqrt{49}[/tex] is [tex]\sqrt{64}[/tex].

There are no other perfect squares in between [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex] there are only decimals.

Therefore, [tex]\sqrt{49}[/tex] is your answer.

Proof:

[tex]7^{2} =49[/tex]

[tex]8^{2}=64[/tex]

A 1/2 cup serving of ice cream contains 140 calories. How many calories would be in a 1 1/2 cup serving?

Answers

Answer:

420 calories is your answer.

Step-by-step explanation:

If half of it is 140 we know that the other half is 140, so the full thing of ice cream is 380. So 1 cup is 380, and half is 140. 380+140 = 420. So 1 1/2 = 420 calories. Could i get brainliest :D

name each indicated part of the algebraic expression 4x + y/3 - 2.3

4:
-2.2:
1/3:
y/3:

Answers

Answer:

» 4 → Coefficient of x [slope of a line]

» x → Term of 4

» ⅓ → Coefficient of y

» y → term of ⅓

-2.3 → Constant [y-intercept]

Step-by-step explanation:

Consider equation below:

[tex]{ \bf{ax + by + c}}[/tex]

• a is a coefficient of x-term

• b is a coefficient of y-term

• c is a constant

The indicated part of the algebraic expression 4x + y/3 - 2.3 are

4: Coefficient of x [slope of a line] x: Term of 4 ⅓: Coefficient of yy: term of ⅓-2.3: Constant [y-intercept]

What is an algebraic expression?

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations.

Given an algebraic expression 4x + y/3 - 2.3

The algebraic equation usually consists of a variable, coefficients, and constants.

the parts of the expression that are connected with addition and subtraction. These parts are called terms. A coefficient is a number that is multiplied by a variable in a mathematical expression. In a mathematical expression, factors are parts of the expression that are connected by multiplication

Learn  more about algebraic expression here:

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#SPJ2

Solve 4p^2 – p=0.
p=____, p=_____

Answers

Answer:

p = 0, p= 1/4

Step-by-step explanation:

factor out the common term p

p(4p - 1) = 0

i need help, im about to have a meltdown​

Answers

Answer:

Not sure of the actual quest but

y=-3x+7

slope -3

y=7

x= 7/3

y=6x-2

slope 6

y= -2

x= 1/3

Step-by-step explanation:

In each of the following, solve for X.

Answers

Answer:

Solving for X: x = 8

Step-by-step explanation:

Set up as proportion and cross multiply to solve:

12/15 = x/10

x = 8

y = x + 10

y = 8 + 10

y = 18

Explain the 'price effect' for normal 'substitutes' and 'complementary' goods.​

Answers

Answer:

When the price of a good that complements a good decrease, then the quantity demanded of one increases and the demand for the other increases. When the price of a substitute good decreases, the quantity demanded that good increases, but the demand for the good that it is being substituted for decreases.

Answer soon!!!! (60 points)

Answers

Answer:

the second one, $63, i think

Step-by-step explanation:

Help, I’m in 6th grade I need help with this. I got the first one wrong and I can’t worth to lose the second part because it’s gunna mark it on my grades, plus it’s only 9 questions, and u can’t redo it but


Kevin is hiking on a trail that is 1.8 miles long. So far, he has hiked 80% of the total distance.
How many more miles does Kevin have to hike in order to complete the trail? Complete the explanation on how you found your answer.

Kevin has to hike 0.36 more miles in order to complete the trail.

Part 2 out of 2
Since Kevin has hiked 80% of the trail, he has 100% - 80% or ?%
So, 20% of 1.8 = ? × 1.8 = 0.36.

Answers

Answer:

Part 1: 4.5

Part 2: 20%, 0.2

Step-by-step explanation:

1. 1.8 = 80% We need to understand this.

So we can do this then:

2. 1.8/8 = 80%/8

3. 0.225 = 1%

4. 0.225 * 20

5. 4.5

(this is part 1 btw)

Part 2!

20% since 100-80 is 20.

20% -> 0.2

what is 6x cubed divided by 2x

Answers

Answer: 2

Step by step: I start with a long-division set-up

Looking only at the leading terms, I divide 3x3 by 3x to get x2. This is what I put on top:

x^2 up on top

I multiply this x2 by the 3x + 1 to get 3x3 + 1x2, which I put underneath:

3x^3 + 3x put down underneath the dividend

Then I change the signs, add down, and remember to carry down the "+10x – 3" from the original dividend, giving me a new bottom line of –6x2 + 10x – 3:

(3x^3 – 5x^2 + 10x – 3) – (3x^3 + 1x^2) = –6x^2 + 10x – 3

Dividing the new leading term, –6x2, by the divisor's leading term, 3x, I get –2x, so I put this on top:

(–6x^2) ÷ (3x) = –2x, which goes on top

Then I multiply –2x by 3x + 1 to get –6x2 – 2x, which I put underneath. I change signs, add down, and remember to carry down the "–3 from the dividend:

(–6x^2 + 10x –3) – (–6x^2 – 2x) = 12x – 3, which is my new last line

My new last line is "12x – 3. Dividing the new leading term of 12x by the divisor's leading term of 3x, I get +4, which I put on top. I multiply 4 by 3x + 1 to get 12x + 4. I switch signs and add down. I end up with a remainder of –7:

(12x)/(3x) = 4, 4(3x + 1) = 12x + 4, (12x – 3) – (12x + 4) = –7

This division did not come out even. What am I supposed to do with the remainder?

Think back to when you did long division with plain numbers. Sometimes there would be a remainder; for instance, if you divide 132 by 5:

132 ÷ 5: 2 × 5 = 10; put 2 on top and 10 underneath; 13 – 10 = 3; new divisor is 32; 6 × 5 = 30; put 6 on top and 30 underneath; 32 – 30 = 2; answer is 26 with remainder 2

...there is a remainder of 2. Remember how you handled that? You made a fraction, putting the remainder on top of the divisor, and wrote the answer as "twenty-six and two-fifths":

\dfrac{132}{5} = 26\,\dfrac{2}{5} = 26 + \dfrac{2}{5}

5

132

=26

5

2

=26+

5

2

The first form, without the "plus" in the middle, is how "mixed numbers" are written, but the meaning of the mixed number is actually the form with the addition.

We do the same thing with polynomial division. Since the remainder in this case is –7 and since the divisor is 3x + 1, then I'll turn the remainder into a fraction (the remainder divided by the original divisor), and add this fraction to the polynomial across the top of the division symbol. Then my answer is this:

\mathbf{\color{purple}{\mathit{x}^2 - 2\mathit{x} + 4 + \dfrac{-7}{3\mathit{x} + 1}}}x

2

−2x+4+

3x+1

−7

A mathematics test has 15 items. In how many ways can a student answer the exam with 9 correct answers and 6 wrong answers?

a. 15
b. 30
c. 90
d. 5,005

Answers

Answer:

Surprisingly the answer is 5,005.

Basically this is asking "in how many ways can you choose 9 things from a set of 15 things".

You will need to use the formula found at the top of this page:

https://www.1728.org/combinat.htm

Filling in the formula in which 'r' = 9 and n = '15'

combinations = n! / (r! * (n-r))!

combinations = 15*14*13*12*11*10 * 9! / (9! * 6!)

combinations = 15*14*13*12*11*10 / 6*5*4*3*2*1

combinations = 14 * 13 * 11 * 10 / 4  

= 14 * 13 * 11 * 2.5

= 5,005

answer is "d"

Step-by-step explanation:

10x2 − 9y2 is not the difference of two squares.
Identify the correct explanation for this statement.

Answers

Answer:

under root 10 will be possible

( 3y )²

What is the distance between (0, 0) and (-7, -3)? Round your answer to the nearest tenth.

Answers

Answer:

Distance = -7.6

Step-by-step explanation:

Using Distance Formula, √((x2-x1)^2 + (y2-y1)^2)

√((-7 - 0))^2 + (-3 - 0)^2) = 7.6

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