Can anyone please help me which statement is not correct? (use estimation to decide please)

Answer:

We get the value of Principal amount i.e initial investment = $61640

Step-by-step explanation:

Interest rate r = 3.59% or 0.0359

Compounded quarterly n = 4

Future Amount A = 117,300

Time t = 18 years

We need to find initial investment i,e Principal Amount P

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding P

[tex]A=P(1+\frac{r}{n})^{nt}\\117300=P(1+\frac{0.0359}{4})^{4*18} \\117300=P(1+0.008975)^{72}\\117300=P(1.008975)^{72}\\117300=P(1.903)\\P=\frac{117300}{1.903}\\P=61640[/tex]

So, We get the value of Principal amount i.e initial investment = $61640

Answer:

745

Step-by-step explanation:

Answer:

745.

Step-by-step explanation:

Next time you can use a calculator so you don't use up your points if you want.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Invertible functions are functions whose inverse can be calculated.

The values of the expressions are: [tex]f^{-1}(f(5)) = 5[/tex] and [tex]f(f(5)) = 11[/tex]

The table entry is given as:

x | 5 | 3 | 1 | 18 | 0 | 9

f(x) | 9 | -2 | -5 | -1 | 1 | 11

(a) Calculate f^-1(f(5))

Start by calculating f(5).

From the table, we have:

[tex]f(5) = 9[/tex]

Take inverse function of both sides

[tex]f^{-1}(f(5)) = f^{-1}(9)[/tex]

From the table, the inverse value of 9 is 5.

i.e. [tex]f^{-1}(9) = 5[/tex]

So, we have:

[tex]f^{-1}(f(5)) = 5[/tex]

(b) Calculate f(f(5))

In (a) above, as have:

[tex]f(5) = 9[/tex]

So, the function becomes

[tex]f(f(5)) = f(9)[/tex]

From the table, the value of f(9) is 11.

So, we have:

[tex]f(f(5)) = 11[/tex]

Read more about invertible functions at:

https://brainly.com/question/15300796

Step-by-step explanation:

A 1 / A 2 = B2 / B1

4 / A 2 = - 72 / 9

A 2 = - I / 2

Answer:

-1/2

Step-by-step explanation:

i got the same question and found the answer

Answer:

x=1, y= -1

Step-by-step explanation:

x = 2y +3

3x -y = 4

Use the substitution method because we have x= something in terms of y

3 (2y+3) -y = 4

6y + 9 -y = 4 subtract 9 from both sides

6y -y = 4-9 combine like terms

5y = -5 divide both sides by 5

y = -1

x= 2*(-1) +3 = -2+3 = 1

Answer:

x=12

Step-by-step explanation:

Lines A and B are parallel, with a transversal passing through them.

The properties of two parallel lines and a transversal tells us that angles 5x and 4x+12 must be equal, because they are a pair of alternate exterior angles.

To solve for x, we do 5x=4x+12

Subtract 4x on both sides

x=12

Answer: 12

Step-by-step explanation:

Answer:

787

Step-by-step explanation:

i took the test

Answer:

An hour and 30 minutes.

Step-by-step explanation:

In one hour, they travel 8 kilometers. They then have 4 kilometers left. 4 is half. of 8, so I would possibly take half the time it would to travel 8, making it 30 minutes for the other 4 kilometers.

Answer:

-22 or -2

Step-by-step explanation:

Understanding size

If RS is 10, it does not matter where they are. As long as they are 10 units apart, it works.

However, we already know S lies at -12 so we only have 2 choices for R.

Check the picture I uploaded for better understanding.

This is because RS doesn't mean that R has to be before S. It just means that they are a segment. This means that RS and SR are the same segments.

Answer:

Option (b) is true.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\sqrt{100-x}[/tex]

plug in x = 5 in the function

[tex]f\left(5\right)=\sqrt{100-5}[/tex]

[tex]\:f\left(5\right)=\sqrt{95}\:\:\:\:[/tex]

[tex]f(5) = 9.75[/tex]

plug in x = 10 in the function

[tex]f\left(10\right)=\sqrt{100-10}[/tex]

[tex]\:f\left(10\right)=\sqrt{90}\:\:\:\:\:[/tex]

[tex]\:f\left(10\right)=9.49[/tex]

plug in x = 15 in the function

[tex]f\left(10\right)=\sqrt{100-15}[/tex]

[tex]\:f\left(10\right)=\sqrt{85}\:\:\:\:\:[/tex]

[tex]\:\:f\left(15\right)=9.22[/tex]

Thus, the table will be:

x              f(x)

0              10

5              9.75

10             9.49

15             9.22

Therefore, option (b) is true.

HCF is 4

Step-by-step explanation:

factors of 52 are: 2x2x13

factors of 48 are:2x2x2x2x3

common factors of 52%48 are: 2

hence, = 2x2

=4

hope it helps

Answer:

m<C = 42°

Step-by-step explanation:

Given:

m<A = (2x - 2)°

m<C = (4x - 6)°

m<DBC = (5x + 4)°

Thus:

m<DBC = m<A + m<C (exterior angle theorem of a triangle)

(5x + 4)° = (2x - 2)° + (4x - 6)°

Solve for x

5x + 4 = 2x - 2 + 4x - 6

Collect like terms

5x + 4 = 6x - 8

5x - 6x = -4 - 8

-x = -12

Divide both sides by -1

x = 12

✔️m<C = (4x - 6)°

Plug in the value of x

m<C = 4(12) - 6 = 48 - 6

m<C = 42°

Step-by-step explanation:

[tex]\angle{DBC }[/tex]=(5x+4)°

[tex]\angle{ A }[/tex]=(2x-2)°

[tex]\angle{C }[/tex]=(4x-6)°

we know that,

[tex]\angle{DBC}[/tex]=[tex]\angle{A}[/tex]+[tex]\angle{C}[/tex]

According to the question,

[tex]\tt{ 5x+4=2x-2+4x-6 }[/tex]

[tex]\tt{ 5x+4=6x-8 }[/tex]

[tex]\tt{ 6x-5x=4+8 }[/tex]

[tex]\bold{x=12 }[/tex]

so,

[tex]\angle{C }[/tex]=(4x-6)°=(4×12-6)°=(48-6)°=42°

Answer:

3 : 4 : 7

Step-by-step explanation:

apple juice - 2/7 = 4/14

orange juice - 1/2 = 7/14

AJ + OJ = 11/14

this means that 3/14 of the punch is cranberry juice.

cranberry : apple : orange

3 : 4 : 7

Answer:

Aimee's garbage disposal has 11/40 more power than Vincent's garbage disposal.

Step-by-step explanation:

Aimee's garbage disposal horse power = 7/8

Vincent's garbage disposal horse power = 3/5

All we need is to subtract Vincent's power from Aimee's power.

i.e.

[tex]\frac{7}{8}-\frac{3}{5}[/tex]

Thus,

[tex]\frac{7}{8}-\frac{3}{5}\:=\frac{35}{40}-\frac{24}{40}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]

         [tex]=\frac{35-24}{40}[/tex]

         [tex]=\frac{11}{40}[/tex]

Thus,  Aimee's garbage disposal has 11/40 more power than Vincent's garbage disposal.

Answer:

20 inch

Step-by-step explanation:

500 divided by 25 is 20.

Hello!

[tex]\large\boxed{a = 0, -3, 7}[/tex]

a³ = 4a² + 21a

Move all "a" to one side:

0 = -a³ + 4a² + 21a

Factor out "-a" from the equation:

0 = -a(a² - 4a - 21)

Solve for a by factoring:

0 = -a(a - 7)(a + 3)

Solve for the roots by setting each factor equal to 0:

-a = 0

a = 0

a - 7 = 0

a = 7

a + 3 = 0

a = -3

Solutions: a = 0, -3, 7

9514 1404 393

Answer:

  number of correct answers by the total number of questions

Step-by-step explanation:

The first step in the process is to express the score as a fraction. That has already been done here, but apparently, we're to say what that fraction is.

The required fraction that must be found as a first step is found by dividing the ...

  number of correct answers by the total number of questions

Answer:

 number of correct answers by the total number of questions

Step-by-step explanation:

source : m4thw4y

Answer:

The average rate of change

[tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

At   t = 1

[tex]\frac{dh}{d t} = 70 (1) - 16(2t) = 38[/tex]

at t=3



Step-by-step explanation:

Step(I):-

The given function  h(t) = 3+70t - 16t²

                          [tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

The       [tex]\frac{dh}{d t} = 70 (1) - 16(2t) =0[/tex]

           70 - 32 t = 0

     ⇒   70 = 32 t

   ⇒     [tex]t = \frac{70}{32} = \frac{35}{16}[/tex]

Step(ii):-

The average rate of change in h(t) between t = 1 second and t = 3 second

[tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

At   t = 1

[tex]\frac{dh}{d t} = 70 (1) - 16(2t) = 38[/tex]

At t = 3



Answer:

distributive property :)

Answer:

......

Step-by-step explanation:

Step-by-step explanation:

[tex] \sqrt{3 - 3} + \sqrt{9 - - 2} [/tex]

[tex] \sqrt{0} + \sqrt{11} [/tex]

[tex] \sqrt{11} [/tex]

Thats the answer of distance

Answer:

The  total cost of the ink supplies can be represented  in two different ways, as follows:

a. 3p (1+r)

b. p * (1+ r) * 3

Step-by-step explanation:

a) Data and Calculations:

Number of printer cartridges bought = 3

Sales tax rate = 7%

The total cost can be represented as:

Total cost = 3p (1+r)

where p = the price of a printer cartridge

and r = the sales tax rate

Alternatively, the total cost can be represented as:

Total cost = p * (1+ r) * 3

b) Whichever expression is used, the total cost derived will remain the same.  The first expression includes the sales tax in the total cost, while the second expression includes the sales tax in the cost of the unit before arriving at the total cost.

Answer:

3c+3c(0.07)

Step-by-step explanation:

Answer:

$186.30

Step-by-step explanation:

87 + 75 = 162

162 + 15% = 186.3

Answer: your new total is $162.65

Step-by-step explanation:

it added 87.50 + 75.00 + 15% and got $162.65

190 square feet.

Step-by-step explanation:

In this problem, we assume that the courtyard measures 950 square feet.

So, 20% of 950 is

That is, the 20% of the courtyard is 190 square feet.

Therefore, the complete statement is

Since 20% of 950 is 190 , students can use 190 square feet of the courtyard:

190 square feet.

Step-by-step explanation:

In this problem, we assume that the courtyard measures 950 square feet.

So, 20% of 950 is

20 \%(950)=\frac{20}{100}950=\frac{1}{5}950= 190ft^{2}20%(950)=

100

20

950=

5

1

950=190ft

2

That is, the 20% of the courtyard is 190 square feet.

Therefore, the complete statement is

Since 20% of 950 is 190 , students can use 190 square feet of the courtyard

Answer:

2a - 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(a - 3) + (a - 5)

Step 2: Simplify