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3 years ago

If i have 100 red velvet cakes and add 10% how many cakes do i have now

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

7 0

Answer:

110 red velvet cakes

Step-by-step explanation:

10% of 100 is 10

To know that you need to divide 10 to 100 if you want to find 10 %.

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You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate

DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

$A=P(1+\frac{r}{n})^{nt}$ , where

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ $3000=2000(1+\frac{0.04}{12})^{12t}$

- Divide both sides by 2000

∴ $1.5=(1+\frac{1}{300})^{12t}$

∴ $1.5=(1\frac{1}{300})^{12t}$

- Change the mixed number to an improper fraction

∴ $(1.5)=(\frac{301}{300})^{12t}$

- Insert ㏒ for both sides

∴ $log(1.5)=log(\frac{301}{300})^{12t}$

- Remember $log(a)^{n}=nlog(a)$

∴ $log(1.5)=(12t)log(\frac{301}{300})$

- Divide both sides by $log(\frac{301}{300})$

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0

3 years ago

Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.

Dimas [21]

9514 1404 393

Answer:

FH = 16

Step-by-step explanation:

ΔGHE is a 5-12-13 triangle.

ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.

_____

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.

If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

For ΔEHG, that is ...

GE² = EH² + HG²

13² = EH² + 5²

EH² = 13² -5² = 169 -25 = 144

And for ΔEHF, ...

FE² = EH² +HF²

20² = 144 + HF²

400 -144 = HF² = 256

HF = √256 = 16

The length of side FH is 16 units.

5 0

2 years ago

Help. How do u convert units within a measurement system

Triss [41]

Step 1. Identify the unit you have
Step 2. Identify the unit you want to covert to
Step 3. Count the number of units between them

(If you are going from a larger unit to a smaller unit, you multiply by 10 successively.)

4 0

3 years ago

The number of bacteria in a colony increases by 10% every 2 hours. What is the overall percent increase after 4 hours?

babymother [125]

The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours.

5 0

2 years ago

How many lines of symmetry does the middle shape have ?

alina1380 [7]

Answer:

<h2>Three</h2>

The answer is that the shape has three lines of symmetry, one from each vertex to the middle of the opposite side.

Step-by-step explanation:

5 0

3 years ago

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