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S_A_V [24]
4 years ago
13

Divide 42 in the ratio of 4:3

Mathematics
1 answer:
lubasha [3.4K]4 years ago
8 0
42 in a 4x to 3x ratio

4x + 3x = 42
7x = 42
x = 6

43 can be put in a 4(6) to 3(6) ratio

which is a 24 to 18 ratio, also written as 24:18

Note:
<span>a(b) = ab = a x b = a times b</span>
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Exhibits
aev [14]

Answer:

20%

Step-by-step explanation:

3 0
3 years ago
Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n
Ratling [72]

The final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65

<h3>How to find the compound interest?</h3>

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

a = p(1 + \dfrac{r}{n})^{nt}

For this case, we're provided that:

The interest rate is r = 13.66% = 13.66/100 = 0.1366 (converted percent to decimal)

It is compounding monthly, thus, 12 times a year, or n = 12

The initial amount that the credit card of Victor has = p = $1349.34

Time for which interest was compounded = a year = 1 = t

Thus, the final amount that Victor will owe after one year to the nearest cent is calculated as;

a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 1349.34(1 + \dfrac{0.1366}{12})^{12\times 1}\\\\a = 1349.34(1.01138)^{12} \approx 1245.65 \: \rm (in \: dollars)

Thus, the final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65

Learn more about compound interest here:

brainly.com/question/1329401

4 0
3 years ago
Herbert plans to use the earnings from his lemonade stand according to the table above, for the first month of operations. If he
FinnZ [79.3K]

Table is attached below

From the table we can see that the Lemon cost is equal to 35% of the expenses

Let the expense be x, Lemons cost is 70

Lemon cost = 35% * x

70 = 35% * x ( 35% = \frac{35}{100} = 0.35)

70 = 0.35 * x

x = \frac{70}{0.35}

x= 200, Expense = $200

Given : Profit percentage is 15%= \frac{15}{100} = 0.15

Profit = profit percentage * Expense

Profit = 0.15 * 200 = 30

So profit = $30


5 0
3 years ago
Read 2 more answers
Jeremiah makes a recipe that calls for 1 and 1/2 cups of flour and 3/4 stick of butter if Jeremiah uses 3 sticks of butter how m
levacccp [35]
We know that
the ratio of the recipe=(1 1/2)/(3/4)
1 1/2=1.5 cups of flour
3/4 stick of butter-------> 0.75 stick of butter
by proportion
1.5/0.75=x/3---------> 3*1.5=0.75*x
x=3*1.5/0.75----------> x=6 cups of flour

the answer is
6 cups of flour

8 0
3 years ago
The data set shows the number of practice free throws players in a basketball competition made and the number of free throws the
Mila [183]

Answer-

The exponential model best fits the data set.

Solution-

x = input variable = number of practice throws

y = output variable =  number of free throws

Using Excel, Linear, Quadratic and Exponential regression model were generated.

The best fit equation and co-efficient of determination R² are as follows,

Linear Regression  

Quadratic Regression

Exponential Regression

The value of co-efficient of determination R² ranges from 0 to 1, the more closer its value to 1 the better the regression model is.

Now,

Therefore, the Exponential Regression model must be followed.

5 0
4 years ago
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