Judah deposited $450 into an account that earns simple interest, and after 4 years, the interest in the account was 90$. What was the simple interest rate?

Answer:

Solution given:

y=2x-5......1.

y=-3x+10.....2.

equating equation 1 &2

2x-5=-3x+10

2x+3x=10+5

x=15/5

x=3

again

y=2×3-5=1

so

x,y=3,1 is your answer.

Answer:

Please check explanations

Step-by-step explanation:

To find the volume of the surface area of a cone, we need to use the height and not the slant height of the cone

The slant height, the height and the base radius forms a right triangle with the slant height being the hypotenuse of this triangle

By Pythagoras’ theorem, the square of the hypotenuse (slant height) equals the sum of the squares of the two other sides

6.5^2 = 2.5^2 + h^2

h^2 = 36

h = √36

h = 6 cm

So we have the volume as;

V = 1/3 * pi * r^2 * h

where r in this case is base radius of 2.5 cm

V = 1/3 * pi * 2.5^2 * 6 = 39.3 cm^3

Answer:

is the name of your account from little mermaid?  :DDD

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

now just refer to the above ( also copy and paste the above on your computer some where so you have it always)

sin( D )= 28 / 53

sin( E ) = 45 / 53

cos(D) = 45 / 53

cos(E) = 28 / 53

Answer:

a) 126degrees

b) 47degrees

Step-by-step explanation:

The sum of two supplementary angles is 180 degrees.

Let the other angle be x

x  + 54 = 180

x = 180 - 54

x = 126degrees

The supplement is 126degrees

b) The sum of two complementary angles is 90 degrees.

Let the other angle be y

y  + 43 = 90

y = 90 - 43

y = 47degrees

Hence the complement is 47 degrees

Answer:

The answer is b.Look below for details.

Step-by-step explanation:

Question no 1. The sequence has the common difference of 14.

t1=7

t2=21

t3=35

We have

tn=a+(n-1)d

=7+(n-1)14

=7+14n-14

=14n-7(Its not our answer)

Lets try b.

The common difference is 2 in this sequence.

t1=7

t2=9

t3=11

t4=13

We have

tn=7+(n-1)2

=7+2n-2

=2n+5(Its is our answer.) Got it.

Answer:

Step-by-step explanation:

Median - The middle number in a list of numbers starting from least to greatest.

Knowing this, we can start.

The first step is to rewrite all the numbers from least to greatest

15, 19, 28, 32, 43, 52, 66, 72, 72, 81

Now cross off a number from the least and greatest until there is 1 or 2 numbers left

19, 28, 32, 43, 52, 66, 72, 72

28, 32, 43, 52, 66, 72

32, 43, 52, 66

43, 52

If you are left we 1 number, that is your answer. If you are left with 2 numbers, there is an extra step

In the case that you have 2 numbers, you need to add them together, and divide by 2

43 + 52 = 95

95 ÷ 2 = 47.5

Thus 47.5 is our answer

Answer:

a

Step-by-step explanation:

I did it on a graph

also sorry about the comment earlier my page wasn't syncing

Answer:

C. (5.097, 7.404)

Step-by-step explanation:

EDGE 2020

The 90% confidence interval for the true mean amount of time teenagers from this town watch sports is (5.097, 7.404).

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The formula for the confidence interval is:

CI = x ± tα/2 × (s/√n)

where x is the sample mean,

s is the sample standard deviation,

n is the sample size, and

tα/2 is the t-value with (n-1) degrees of freedom and a confidence level of 90%.

From data (x) is 6.25 hours and

s=  4.33 hours.

We also know the sample size (n) is 40.

To find the t-value with (n-1) degrees of freedom and a confidence level of 90%, we can use a t-table.

For 39 degrees of freedom and a confidence level of 90%

Let us find that the t-value is 1.684.

Substituting the values we have into the formula, we get:

CI = 6.25 ± 1.684 × (4.33/√40)

CI = (5.097, 7.404)

Therefore, the 90% confidence interval for the true mean amount of time teenagers from this town watch sports is (5.097, 7.404).

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ3

Answer:

Is the triangle a right triangle?

Answer:

$7.63

Step-by-step explanation:

well 6/10 is the same as 0.6 and 3/100 is the same as 0.03

so when you add the 7and 0.6 =7.6 +0.03=7.63

Answer:

7.63

Step-by-step explanation:

7 dollars - 7.00

0.6 dollar - 0.6

0.03 dollar - 0.03

(becoming)

7.00

0.6

0.03

-----------

$7.63

^line up the decimals while adding

Hopefully this helps,

-Rose

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls....

Follow me! ;)

Answer:

B

Step-by-step explanation:

Subtracting 3 from the product of 8 and 5 means that the 8 and 5 need to be multiplied first.

Brackets, in the order of operations, come before other operators, other than square root, square, and the like. In general, multiplication and division would be done before subtraction, so the bracket goes over 5 x 8 and not 8 - 3.

Answer: 6

Step-by-step explanation:

Firstly, it should be noted that the diameter of a circle is twice its radius. In this case, the diameter of the circle will be:

Diameter = Radius × 2

Diameter = 16 × 2 = 32 inches

Therefore, to solve for x goes thus:

6x - 4 = 32

6x = 32 + 4

6x = 36

x = 36/6

x = 6

KLJ= 125º

Hope this helps!!

Answer:

(c)

Step-by-step explanation:

Given

See attachment for A and B

Required

Compare A and B

First, we get the initial population of A and B.

The initial population is at when [tex]t =0[/tex]

From the table of bacteria A, we have:

[tex]Initial = 100[/tex] when [tex]t = 0[/tex]

From the graph of bacteria B, we have:

[tex]Initial = 75[/tex] when [tex]t = 0[/tex]

Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.

Next, calculate the slope of A and B i.e. the rate

Slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]

Where

y = Number of bacteria

t = time

For bacteria A:

[tex](t_1,y_1) = (0,100)[/tex]

[tex](t_2,y_2) = (2,140)[/tex]

So, the slope is:

[tex]m_A = \frac{140 - 100}{2 - 0}[/tex]

[tex]m_A = \frac{40}{2}[/tex]

[tex]m_A = 20[/tex]

For bacteria B:

[tex](t_1,y_1) = (0,75)[/tex]

[tex](t_2,y_2) = (1,100)[/tex]

So, the slope is:

[tex]m_B = \frac{100- 75}{1 - 0}[/tex]

[tex]m_B = \frac{25}{1 }[/tex]

[tex]m_B = 25[/tex]

Since [tex]m_B > m_A[/tex], then the rate of bacteria B is greater than that of bacteria A.

Hence, (d) cannot be true

Next, we determine the equation of both bacteria

This is calculated using:

[tex]y = m(t - t_1) + y_1[/tex]

For bacteria A, we have:

[tex]y = m_A(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,100)[/tex]

[tex]m_A = 20[/tex]

So:

[tex]y = 20(t - 0) +100[/tex]

[tex]y = 20(t) +100[/tex]

[tex]y = 20t +100[/tex]

For bacteria B, we have:

[tex]y = m_B(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,75)[/tex]

[tex]m_B = 25[/tex]

So:

[tex]y = 25(t - 0) + 75[/tex]

[tex]y = 25(t) + 75[/tex]

[tex]y = 25t + 75[/tex]

At 3 hours, the population of bacteria A is:

[tex]y = 20t +100[/tex]

[tex]y = 20* 3 + 100[/tex]

[tex]y = 60 + 100[/tex]

[tex]y = 160[/tex]

At 3 hours, the population of bacteria B is:

[tex]y = 25t + 75[/tex]

[tex]y=25 * 3 + 75[/tex]

[tex]y=75 + 75[/tex]

[tex]y=150[/tex]

After 3 hours, bacteria B is 150 while A is 160.

This implies that (c) is correct because the population of B is less than that of A, at 3 hour

Lastly, to check if they will ever have equal population or not, we simply equate both equations.

So, we have:

[tex]y = y[/tex]

[tex]25t + 75 =20t + 100[/tex]

Collect like terms

[tex]25t - 20t = 100 - 75[/tex]

[tex]5t = 25[/tex]

Solve for t

[tex]t = 25/5[/tex]

[tex]t = 5[/tex]

They will have equal population at 5 hours.

Hence, b is incorrect

From the above computation, only (c) is correct

Answer:

Area = 13+9=22

22/2 = 11

11x 4 = 44 square units

the division wiil be as 33 ÷3 =11 bags and she wil have 2 remained cookies she should eat them

Answer: 2.20 miles

Step-by-step explanation:

The triathlon involves the bike race, swimming and the marathon.

You are given the distance for the marathon, the biking and the total distance.

Total distance = Swimming + Marathon + Biking

135.7 = Swimming + 23.5 + 110

Swimming = 135.7 - 23.5 - 110

Swimming = 2.20 miles

Answer:

I think B as all the dots are near the line B

[tex]\mathtt{: )}[/tex]

Answer:

C: 120x+92y<1,300

Step-by-step explanation:

Since the band plays at an hourly rate of $120 for x hours, the total cost of the band playing is 120x.

Also the DJ can play for the remaining time at an hourly rate of $92 for y hours, the total cost of the band playing is 92y

The total cost of the band is DJ playing is thus 120x + 92y.

Since we require this to be under $1,300, we us the less than sign '<' to show the relation.

So, 120x + 92y < 1300

So, the answer is C

Answer:

it's easy 464*574*7543*=Baba .ki

Answer:

Divide both sides by L

Step-by-step explanation:

Because L is multiplied by W, to find W you would need to move the L to the other side by doing the reverse operation, which in this case is division.

Answer:

x = -4

I hope it's helps you t

Answer:

x = -4

Step-by-step explanation:

Simplifying

6x + 6 = 3x + -6

Reorder the terms:

6 + 6x = 3x + -6

Reorder the terms:

6 + 6x = -6 + 3x

Solving

6 + 6x = -6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

6 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x

6 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0

6 + 3x = -6 + 0

6 + 3x = -6

Add '-6' to each side of the equation.

6 + -6 + 3x = -6 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = -6 + -6

3x = -6 + -6

Combine like terms: -6 + -6 = -12

3x = -12

Divide each side by '3'.

x = -4

Answer:

2.5

Step-by-step explanation:

Answer: b. 2.5 years

Step-by-step explanation:

The formula for Interest is:

= principal × rate × time

Then, we slot in the values given which will be:

Interest = principal × rate × time

50 = 1000 × 2% × Time

50 = 1000 × 0.02 × Time

50 = 20 × Time

Time = 50/20

Time = 2.5 years

He has 2.5 years to pay back

Answer:

Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF