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4 years ago

9

In a survey, 7/20 of the students in fifth grade said their family buys organic vegetables what decimal represents the portion o

f students whose families buy organic vegetables

1 answer:

Vikki [24]4 years ago

5 0

Answer:

35%

Step-by-step explanation:

7÷20=0.35

move the decimal 2 places to the right

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Bruce's hourly wage increased from $12.00 to $13.00. What is the percent of increase?

Tanya [424]

2% i think hopefully it's right

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3 years ago

How do you work out the rate, time and principal from the compound interest formula?

wlad13 [49]

Answer:

Part 1) $P=A/(1+\frac{r}{n})^{nt}$ (see the explanation)

Part 2) $r=n[\frac{A}{P}^{1/(nt)}-1]$ (see the explanation)

Part 3) $t=log(\frac{A}{P})/[(n)log(1+\frac{r}{n})]$ (see the explanation)

Step-by-step explanation:

we know that

The compound interest formula is equal to

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

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part 1) Find the Principal P

The values of A,r,n and t are given

Isolate the variable P

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

Divide both side by $(1+\frac{r}{n})^{nt}$

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

Part 2) Find the rate r

The values of A,P,n and t are given

Isolate the variable r

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

Divide both sides by P

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

Elevated both sides to 1/(nt)

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

subtract 1 both sides

$\frac{A}{P}^{1/(nt)}-1 =\frac{r}{n}$

Multiply by n both sides

$r=n[\frac{A}{P}^{1/(nt)}-1]$

Part 3) Find the time t

The values of A,P,r and n are given

Isolate the variable t

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

Divide both sides by P

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

Apply log both sides

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

Apply property of exponents

$log(\frac{A}{P})=(nt)log(1+\frac{r}{n})$

Divide both side by $(n)log(1+\frac{r}{n})$

$t=log(\frac{A}{P})/[(n)log(1+\frac{r}{n})]$

3 0

3 years ago

Given the equation y=3/4x+6 find the slope

nydimaria [60]

Answer:

The answer is M= 3/4

6 0

3 years ago

Read 2 more answers

Jack has a cat that is 4 times as large as jill's cat. combined, both cats weigh 35 pounds. how much does jacks cat weigh ?

Sever21 [200]

If we say that the weight of Jill's cat is w, then we can say that the weight of Jack's cat is 4w.

We know that the combined weight is 35 pounds, so we can write this as

4w+w=35

Which simplifies to

5w=35

If we divide by 5, we are left with

w=7

So that gives us the weight of Jill's cat. If Jack's cat weighs 4 times as much, we can see that

4x7=28

Therefore, Jack's cat weighs 28 pounds :)

7 0

3 years ago

Read 2 more answers

At a school with 100 students, 40 students are taking Arabic, 35 Bulgarian, and 25

Ad libitum [116K]

A no students are taking all 3 languages
B 41 students are taking no language sorry if I’m wrong have a great day

4 0

3 years ago