Sarawong invests $4,537 in a retirement account with a fixed annual interest rate of 4.55% compounded quarterly. What will the account balance be after 17 years?

Answer:

d=65

f=73

e=the one triangle =180

65+73=138

180-138=42

e=42

Step-by-step explanation:

I think so

Answer:

1571 ft^3

Step-by-step explanation:

Given data

diameter= 20ft

radius= 20/2= 10 ft

Height= 5ft

Volume of cylinder = πr^2h

Substitute

V= 3.142*10^2*5

V= 3.142*100*5

V= 1571 ft^3

Hence the volume is 1571 ft^3

Answer:

1580.8 ft^3

Step-by-step explanation:

Answer:

370

Step-by-step explanation:

First find the unit rate aka price per pencil: 20 divided by 6 equals 3.333

Then find amount for all pencils

3.333 by 111 is 369.963

Then we round up to have a realistic amount of pencils to 370

Answer:

45.6° (1 d.p)

Step-by-step explanation:

Using the cosine rule;

c = √( a² + b² - 2ab Cosx)

11 =√(8² + 15² - 2 (8) (15) Cosx)

11² = 8² + 15² - 240 Cosx

11² - 8² - 15² = - 240 Cosx

-168 = -240 cosx

cosx = 0.7

x = cos⁻¹ (0.7) = 45.57 ≈ 45.6°

Answer:

45.6

Step-by-step explanation:

Step-by-step explanation:

there you go that is how you solve

Answer:

x=-8

Step-by-step explanation:

    Given: 2x-14=3x-6

                    +14   +14

                     -----------

                   2x=3x+8

                   -3x -3x

                  --------------

                   -1x=8

                   ---  ---

                   -1   -1

                 -------------

                  x= -8

Hope this makes sense

Answer:

28 decrease

Step-by-step explanation:

2,500 - 1,800 = 700

700/2500 x 100 = 28

So its 28% decrease.

Answer:

-3x + 7

Step-by-step explanation:

she used the y-intercept as the slope and the slope as the y- intercept.

Answer:

its y= -3x+7

Step-by-step explanation:

she used the x intercept for the y - intercept and the y- intercept for the c-intercept

Answer:

x=6

Step-by-step explanation:

5*x+6=36

so 5*6=30

+6=36

Answer:

36

Step-by-step explanation:

Answer: 105 feet(make sure to put feet)

Step-by-step explanation:if it only took her 1/3 of an hour to get 35 feet done so 35 x 3=105

Answer:

y= 2x+1

Step-by-step explanation:

Using the general linear form y=mx+c

First find the gradient: change in y/change in x

11-5/6-2 = 6/3= 2

y=2x+c

Secondly find out c:

Use one of the coordinats

5= 2(2)+c

5=4+c

-4

1=c

y= 2x+1

Answer:

first start by finding the equation and then put it into photomath and then boom theres your answer hun

Step-by-step explanation:

Answer:

Subject 's' in terms of 't'

  [tex]s = \frac{t-4}{5}[/tex]

Step-by-step explanation:

Explanation:-

Given that the subject 't in terms are 's'

Given that t = 5 s +4

subtracting '4' on both sides, we get

t - 4 = 5s +4-4

 t - 4 = 5 s

Dividing '5' on both sides ,we get

  [tex]\frac{t-4}{5} = \frac{5s}{5}[/tex]

   [tex]\frac{5s}{5 } = \frac{t-4}{5}[/tex]

    [tex]s = \frac{t-4}{5}[/tex]

Answer:

The answer is A

Step-by-step explanation:

cross mutliply

1×6=6

1×3=3

divide the answers

result: 2

I hope this helps

Answer:

False

Step-by-step explanation:

All measures of triangle add up to 180°

[tex]A + B + C = 180[/tex]

[tex]62 + 93 + 35 = 190[/tex]

[tex]190 \neq 180[/tex]

[tex]62 + 93 + 25 = 180[/tex]

the third measure is [tex]25[/tex] not [tex]35[/tex].

plz mark me brainliest ;)

Answer:

-11

Step-by-step explanation:

7p +2=5p-20

7p-5p= -2-20

2p= -22

p=-11

Answer:

x=-18

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-(-6))/(4-4)

m=(4+6)/0

m=10/0

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I have attached an image of the triangle.

BC = 9 cm

Answer:

CE = 7.2 cm

Step-by-step explanation:

In the attached triangle, we see that;

AB = AC = 7.5cm

BC = 9 cm

AD = 6cm

BC = 9cm

Formula for area of triangle is given as;

A = ½bh

Where b is base and h is height.

For the ∆ ABC with BC as base,

Area = ½ × 9 × 6 = 27 m²

Similarly, For ∆ ABC with AB as base,

Area = ½ × 7.5 × CE

Now, area from earlier is 27 cm²

Thus;

½ × 7.5 × CE = 27

Multiply both sides by 2 to get;

7.5CE = 54

CE = 54/7.5

CE = 7.2 cm

Answer:

Tuesday

Step-by-step explanation:

Given:

Monday: $1

Tuesday: $2

Wednesday: $3

Thursday: $4

Friday: $5

Saturday: $6

Sunday: $7

And after 24 days he had $93

____

So lets convert 24 days into weeks. A week has 7 days we divide 24/7 and get 3.42857 weeks or just have it as 3 weeks and 3 days.

24 days = 3 weeks and 3 days

Now we want to know how much does Eli make in 1 week, we add all the numbers 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28

Eli makes $28 in one week. And (28x3) in three weeks which is $84.

Now that we know that Eli made $84 in three weeks, we have three days left - now we calculate the difference.

93 - 84 = 9

Now these 9 dollars are split into three days. This means he started on Tuesday since Saturday is $7 and Monday is $1 and that sums it up to $8 and the first dollar was placed in his piggy bank on a Tuesday.

Answer:

a.

Step-by-step explanation:

A proportional relationship is going to be a straight line that passes through the origin. The only graph that fits that criteria is graph a.

Answer:

a and c

Step-by-step explanation:

both of them go up linear-ly

Answer:

Step-by-step explanation:

3y = -x + 6

y = -1/3x + 2

y - 3 = -1/3(x + 1)

y - 3 = -1/3x - 1/3

y - 9/3 = -1/3x - 1/3

y = -1/3x + 8/3

Answer:

The value of y = 7.5 and the scale factor is 2/3.

Step-by-step explanation:

To get the scale factor, let's get the ratio of 17 to 25

[tex] \frac{17}{25.5} = \frac{2}{3} [/tex]

To check if 17 really is the 2/3 of 25.5

[tex]17 = \frac{2}{3} \times 25.5 \\ 17 = \frac{51}{3} \\ 17 = 17[/tex]

Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).

[tex]3y - 3.5 = \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5[/tex]

Answer:

They are both 122 degrees

Step-by-step explanation:

Answer: 38

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Let's use benchmark fractions

What is 10% of 40?

that's 40/10 which is 4

What is half of 4?

4/2 = 2

That means 5% of 40 is 2

So then we do 40 - 2 = 38

The other way we can do it is by using percent proportions:

[tex]\frac{x}{95} \frac{40}{100} \\do:\\x=\frac{95 * 40}{100}[/tex]

[tex]x=\frac{3800}{100}[/tex]

[tex]x=38[/tex]

Answer:

need to find the area of the circular dining room table which has a radius of 3 feet of each person sitting at the table needs about 2 feet of space how many people will fit at the table 3 feet of each person sitting at table needs about two feet of space than about five people will fit at the table

Answer:

1)C

2)B

3)D

Step-by-step explanation:

1)C, since 160/3 does not equal to 55

2)B, since 2/8=0.25, 3/12=0.25 and so on

3)D, since 48/3=16

Hope I helped!

Answer:

0.29 = 29% = [tex]\frac{29}{100}[/tex]

35% = 0.35 = [tex]\frac{7}{20}[/tex]

[tex]\frac{2}{5}[/tex]= 0.40 = 40%

Step-by-step explanation:

Answer:

1) -10

2) 1

Step-by-step explanation:

1)  (-5) - 5

- Removing the brackets won't change anything since it is subtraction, so now it will be - 5-5 which is equal to -10.

-5 -5 = -10

2) (-10) + 11

- The same case applies here since it is addition.

-10 + 11 = 1

Answer:

1) -10

2) -1

Step-by-step explanation:

[tex]( - 5) - 5 = - 10 \\ \\ ( - 10) + 11 = - 1 \: [/tex]