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3 years ago

12

The functions f(x) and g(x) are shown below:

1 answer:

lara31 [8.8K]3 years ago

8 0

The answer is: The graph of g(x) will eventually exceed the graph of f(x).

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Plz help me with this math and also explain

jasenka [17]

Step-by-step explanation:

<h2>[1]</h2>

SI = $250
Rate (R) = 12 $\sf \dfrac{1}{2}$ %
Time (t) = 4 years

$\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\$

$\longrightarrow \tt { 250 \times 100 = P \times 50} \\$

$\longrightarrow \tt { 25000 = P \times 50} \\$

$\longrightarrow \tt { \dfrac{25000}{50} = P } \\$

$\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\$

Therefore principal is $500.

<h2>__________________</h2>

<h2>[2]</h2>

2/7 of the balls are red.
3/5 of the balls are blue.
Rest are yellow.
Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

$\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\$

$\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\$

$\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\$

$\longrightarrow \tt{ 31x + 1260= 35x} \\$

$\longrightarrow \tt{ 1260= 35x-31x} \\$

$\longrightarrow \tt{ 1260= 4x} \\$

$\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\$

$\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\$

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\$

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\$

$\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\$

$\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\$

8 0

3 years ago

Help me!! Please anything helps.

Degger [83]

The answer is C, a function is when the x value does NOT repeat!

6 0

3 years ago

What is the average rate of change for the line shown in the graph

kompoz [17]

Answer:

The average rate of change is 10.

Step-by-step explanation:

Since the average rate of change is the slope of a line, you'd solve this problem by finding the slope.

First, you can start by using the $\frac{y_2-y_1}{x_2-x_1}$ method.

Plug in the points (0,10) and (1,20).

$\frac{20-10}{1-0} =\frac{10}{1} =10$

Therefore your answer is 10.

Hope this helped!

6 0

2 years ago

Deonte invested 200000at his bank for 10 years if he earned 130000 what was the interest rate the bank gave him

Volgvan

<u>Answer:</u>

The interest rate the bank gave Deonte is 6.5%.

<u>Solution:</u>

Given, Deonte invested 200000 at his bank for 10 years

He earned 130000

We have to find what was the interest rate the bank gave him.

Now we know that, simple interest $=\frac{\text {amount} \times \text {rate} \times \text {time}}{100}$

So, by substituting our values in above formula,

$130000=\frac{200000 \times \text { rate } \times 10}{100}$

Interest rate $\times$ 20000 = 130000

Interest rate $\times$ 2 = 13

$\text { Interest rate }=\frac{13}{2}=6.5 \%$

Hence, the interest rate given by bank is 6.5% to Deonte.

8 0

3 years ago

Pablo split 3/4 pounds of candy amount 4 people what is the unit rate in pounds per person

deff fn [24]

Answer:

3/16 of a pound of candy.

Step-by-step explanation:

3/4 ÷ 4 = 3/16

4 = 4/1

you invert and multiply 3/4 × 1/4

3×1= 3. 4×4=16. = 3/16

4 0

3 years ago