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Evgesh-ka [11]
3 years ago
10

Alan deposited $300 into a savinga account. At the end of the first year, the amount of money in the account has increased to $3

36. At the end of the second year, he had $420. Find the percentg increase in the amount of money in his savings account at the end of the first year. HOW DO I SOLVE THIS????
Mathematics
1 answer:
Step2247 [10]3 years ago
4 0
He had put in $300 and got out $336 at the end of the year.
This means an increase of $36 over a year.

10% of $300 = $30 dollars
This shows that he definitely got more than a 10% increase.

Alan got $6 more than $30 so to find 6 from 30, you divide by 5

so ( 10% = $30 ) divided by 5 = ( 2% = $6 )

Adding the amount of money and percentages gives you 12% = $36

So the amount of mpercentage increase is 12%

Overall the amount of money in his bank now compared to when he deposited it, he has 112% in the bank.
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How many meters are there in 89 inches
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A florist has to choose four different types of flowers to include in a bouquet. In how many ways can the florist do this, if th
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Answer:

Step-by-step explanation:

Given:

Type of Flowers = 5

To choose = 4

Required

Number of ways 4 can be chosen

The first flower can be chosen in 5 ways

The second flower can be chosen in 4 ways

The third flower can be chosen in 3 ways

The fourth flower can be chosen in 2 ways

Total Number of Selection = 5 * 4 * 3 * 2

Total Number of Selection = 120 ways;

Alternatively, this can be solved using concept of Permutation;

Given that 4 flowers to be chosen from 5,

then n = 5 and r = 4

Such that

nPr = \frac{n!}{(n - r)!}

Substitute 5 for n and 4 for r

5P4 = \frac{5!}{(5 - 4)!}

5P4 = \frac{5!}{1!}

5P4 = \frac{5*4*3*2*1}{1}

5P4 = \frac{120}{1}

5P4 = 120

Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways

4 0
3 years ago
Solve. Round to the nearest tenth.<br> 6<br> 2-12<br> 19<br> 2x-2<br> HELP ASAP!!
Strike441 [17]

Answer:

\displaystyle x = \frac{216}{7}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}<u />

<u />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Cross-multiply:                     \displaystyle 6(2x - 2) = 19(x - 12)
  2. Distribute:                             \displaystyle 12x - 12 = 19x - 228
  3. Isolate <em>x</em> terms:                     \displaystyle -12 = 7x - 228
  4. Isolate <em>x</em> term:                      \displaystyle 216 = 7x
  5. Isolate <em>x</em>:                               \displaystyle \frac{216}{7} = x
  6. Rewrite:                                \displaystyle x = \frac{216}{7}
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2 years ago
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