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3 years ago

Can you pleas help me solve this assignment?

Mathematics

1 answer:

Iteru [2.4K]3 years ago

6 0

The correct answer for the question that is being presented above is this one: "<span>1,903.73."</span>

Solution:
(1) Multiply the percent favored to the Number surveyed
0.60 * 2700 = 1,620
0.55 * 1900 = 1,045
0.40 * 1000 = 400

So the total is 3,065

(2) Get the weighted mean:
Add the total percent favored = 0.66 + 0.55 + 0.41 = 1.61
Weighted mean = 3,065 / 1.61 = 1,903.73

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The length of a rectangular garden is 5 m longer than it's breadth. If it's perimeter is 150 m, find the area of the garden.

jonny [76]

Answer:

Step-by-step explanation:

L = B + 5

2L + 2B = 150

Substituting gives 2B + 2(B+5) = 150

4B = 140

B=35; L = 40

Area = B x L = 35 x 40 = 1400 m2

5 0

3 years ago

Write an integer that represents this scenario:

ryzh [129]

Answer:

-1 C

Step-by-step explanation:

if johnny is swmming 1 meter below then its -1 C

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3 years ago

John, Sally, and Natalie would all like to save some money. John decides that it would be best to save money in a jar in his clo

Radda [10]

Answer:

Part 1) John’s situation is modeled by a linear equation (see the explanation)

Part 2) $y=100x+300$

Part 3) $\$12,300$

Part 4) Is a exponential growth function

Part 5) $A=6,000(1.07)^{t}$

Part 6) $\$11,802.91$

Part 7) Is a exponential growth function

Part 8) $A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

Part 9) $\$13,591.41$

Part 10) Natalie has the most money after 10 years

Step-by-step explanation:

Part 1) What type of equation models John’s situation?

Let

y ----> the total money saved in a jar

x ---> the time in months

The linear equation in slope intercept form

$y=mx+b$

The slope is equal to

$m=\$100\ per\ month$

The y-intercept or initial value is

$b=\$300$

$y=100x+300$

therefore

John’s situation is modeled by a linear equation

Part 2) Write the model equation for John’s situation

$y=100x+300$

see part 1)

Part 3) How much money will John have after 10 years?

Remember that

1 year is equal to 12 months

10 years=10(12)=120 months

For x=120 months

substitute in the linear equation

$y=100(120)+300=\$12,300$

Part 4) What type of exponential model is Sally’s situation?

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

in this problem we have

$P=\$6,000\\ r=7\%=0.07\\n=1$

substitute in the formula above

$A=6,000(1+\frac{0.07}{1})^{1*t}$

$A=6,000(1.07)^{t}$

therefore

Is a exponential growth function

Part 5) Write the model equation for Sally’s situation

$A=6,000(1.07)^{t}$

see the Part 4)

Part 6) How much money will Sally have after 10 years?

For t=10 years

substitute the value of t in the exponential growth function

$A=6,000(1.07)^{10}=\$11,802.91$

Part 7) What type of exponential model is Natalie’s situation?

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

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

e is the mathematical constant number

we have

$P=\$5,000\\r=10\%=0.10$

substitute in the formula above

$A=5,000(e)^{0.10t}$

Applying property of exponents

$A=5,000(1.1052)^{t}$

therefore

Is a exponential growth function

Part 8) Write the model equation for Natalie’s situation

$A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

see Part 7)

Part 9) How much money will Natalie have after 10 years?

For t=10 years

substitute

$A=5,000(e)^{0.10*10}=\$13,591.41$

Part 10) Who will have the most money after 10 years?

Compare the final investment after 10 years of John, Sally, and Natalie

Natalie has the most money after 10 years

4 0

4 years ago

Read 2 more answers

Help i will mark brainliest!!!

sineoko [7]

Answer:

See below.

Step-by-step explanation:

The square root of a number is a number than when multiplied by itself, you get the original number.

For example, the square root of 4 is 2 since 2 * 2 = 4, but the square root of 4 is also -2 since (-2) * (-2) = 4. Since the product of 2 negative numbers is positive, and the product of two positive numbers is also positive, each positive integer has two square roots, one positive and one negative.

The cubic root of a number is a number that when you cube you get the original number. To cube a number, you must find the product of 3 equal numbers. For example, the cubic root of 8 is 2 since 2 * 2 * 2 = 8. The cubic root of 8 cannot be -2 since (-2) * (-2) * (-2) = -8, not 8. When you multiply 3 positive numbers together, the product is positive. When you multiply three negative numbers together, the product is negative. Because of this, a positive number has a positive cubic root, and a negative number has a negative cubic root. A positive integer has only one cubic root.

7 0

3 years ago

Identify the pair of events as dependent or independent. An odd-numbered problem is assigned for homework, and an even-numbered

S_A_V [24]

Hello!

As the homework and test are two separate things, selecting an odd or even number on either of them will not affect the probability of selecting an odd or even number on the other.

Therefore, this pair of events is independent.

I hope this helps!

5 0

3 years ago