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Vsevolod [243]
3 years ago
7

How long will it take for the balance of an account to double if the savings account earns 0.75% annual interest compounded mont

hly?
Hint: Set up the problem using the formula: A=P(1+r/n )^nt.
Mathematics
1 answer:
spin [16.1K]3 years ago
4 0
Let the amount deposited (principal) be x, then the amount after the required time = 2x.
A = P(1 + r/n)^nt: where A is the future value = 2x, P is the principal = x, r is the rate = 0.75%, n is the number of accumulation in a year = 12, t is the number of years.

2x = x(1 + 0.0075/12)^12t
2 = (1 + 0.000625)^12t
log 2 = 12t log (1.000625)
log 2 / log (1.000625) = 12t
1109.38 = 12t
t = 92 years
You might be interested in
27
kondaur [170]

Answer:

<em>Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift</em>

Step-by-step explanation:

<u>Equations</u>

Let's make:

x = the number of years from now

Karim now is 22 and Ziad is 8. x years from now Karim will be

22 + x years old and Ziad will be

8 + x years old.

Karim will give Ziad a wonderful gift when:

22 + x = 3(8 + x)

22 + x = 24 + 3x

Solving:

x = -1

This means that Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift

4 0
3 years ago
Israel planted 4 tomato seeds in his garden. Then he planted flower seeds in each of his three neighbor's gardens. Which express
Mice21 [21]

Answer:

4 + 3n

Step-by-step explanation:

Number of seed planed in his garden = 4

Let the Number of seed planted in each neighbor's garden = n

Number of neighbors he has = 3

The total number of seeds planted can be represented by the equation :

Number of seeds planted in his garden + (number of neighbors * number of seeds planted in each neighbors garden)

4 + 3n

7 0
3 years ago
Can someone please help me with this?? I NEED THIS ASAP
salantis [7]

Answer:

hi ate you know crush kita <3

( ˘ ³˘)♥︎

4 0
3 years ago
-3+(-6) is ___ units from -3 in the positive or negative direction.
Lisa [10]

Answer:

-3+(-6) = -9

Step-by-step explanation:

a negative 3 plus another negative 6 is a negative 9. Is just like if you borrow $3 from your friend and borrow $9 from another friend. That means you own two of your friends a total of $9. This can be mathematically illustrate as: -3 + (-6)= -9

3 0
3 years ago
1. What is the value of x? Show your work to justify your answer.
Reil [10]

Answer:

x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.

y + 2x+10 =180

Solve for y by subtracting 2x+10 from each side.

y + 2x+10 - (2x+10) =180 - (2x+10)

y = 180-2x-10

y = 170-2x


The three angles of a triangle add to 180 degrees

x+ y+ 82 = 180

x+ (170-2x)+82 = 180

Combine like terms

-x +252=180

Subtract 252 from each side

-x+252-252 = 180-252

-x = -72

Multiply each side by -1

-1*-x = -72*-1

x=72

The exterior angle is 2x+10.  Substitute x=72 into the equation.

2(72)+10

144+10

154


8 0
3 years ago
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