Jordan’s credit card has an APR of 10.59%, compounded monthly. He is required to make a minimum payment of 3.96% of his current balance every month. At the beginning of March, Jordan had a balance of $628.16 on his credit card. The following table shows his credit card purchases over the next few months. Month Cost ($) March 50.81 March 48.04 April 77.36 April 32.40 April 49.20 May 25.79 May 79.39 May 79.08 If Jordan makes only the minimum monthly payments in March, April, and May, what will his balance be after he makes the minimum payment for May? (Assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. Round all dollar values to the nearest cent.) a. $1,094.10 b. $988.97 c. $967.60 d. $1,070.23

Answer:

8%

Step-by-step explanation:

I=Pr

104=2600*r/2

r/2=104/2600

r=(104/2600)(2)

r=0.08=8%

Eliana must invest at a rate of 0.33% of simple interest to earn $104.

Given,

Eliana has $2600 to invest for 6 months.

If she needs the money to earn $104 in that time.

We need to find at what rate of simple interest must Eliana invest.

It is given as:

SI = PRT / 100

P = principal amount

R = rate

T = time in years.

Find the rate of interest.

We have,

Simple interest = PRT / 100

SI = $104

T = 6 months

Convert it into years.

12 months = 1 year

6 months = 6/12 years

T = 1/2 years

$104 = ($2600 x R x 1/2) / 100

104 = (2600 x R x 1/2) / 100

100 x 104 = 2600 x R x 12

R = (100 x 104 ) / (2600 x 12)

R = 104 / 312

R = 0.33 %

Thus the rate of simple interest is 0.33%

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Answer:

B

Step-by-step explanation:

b okay it b good

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Answer:

[tex] \boxed{\sf f(2a - 3) = 12a - 20} [/tex]

Step-by-step explanation:

Function given:

⇒f(x) = 6x - 2

Substitute 2a - 3 into the function in place of x:

⇒f(2a - 3) = 6(2a - 3) - 2

Expand bracket:

⇒f(2a - 3) = 12a - 18 - 2

Add the like terms:

⇒f(2a - 3) = 12a - 20

Answer:

35:60 times

Step-by-step explanation:

The proportion of time in which the coin land on Heads is 0.58

A proportion is an equation in which two ratios are set equal to each other.

Now it is given that,

Number of times coins tossed = 60

Number of times coin landed on Heads = 35

Therefore, the proportion of time in which the coin land on Heads is given as,

Proportion of time the coin land on Heads = Number of times coin landed on Heads/Number of times coins tossed

⇒ Proportion of time the coin land on Heads = 35/60

⇒ Proportion of time the coin land on Heads = 7/12 = 0.58

Thus, the proportion of time in which the coin land on Heads is 0.58

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Answer:

The price of the ticket before tax - P

The amount of tax Jennifer pays- 0.08P

Jennifer's total amount for the ticket- P + 0.08P

Step-by-step explanation:

The price of the plane ticket is P dollars, before airport security tax. Here P is an independent variable.

An airport security tax of 8% is applied to the price of a plane ticket. So, the amount of airport security tax that Jennifer pays is 8% of the cost of her plane ticket, or 0.08P.

To find Jennifer's total amount for the plane ticket, add the price of the ticket before airport security tax and the amount of airport security tax Jennifer pays. So, the total amount of the plane ticket is P + 0.08P.

The table below shows the expressions matched to their meanings.

An expression is defined as a set of numbers, variables, and mathematical operations. Jennifer's total amount for the ticket is P+0.08P.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that Jennifer is buying a plane ticket to travel abroad. The price of the plane ticket is P dollars, and she has to pay the additional 8% airport security tax. Therefore, we can write the expressions as,

The price of the ticket before tax → P

The amount of tax Jennifer pays → 8% of P = 0.08p

Jennifer's total amount for the ticket → Price of ticket + Tax = P + 0.08P

Hence, Jennifer's total amount for the ticket is P+0.08P.

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Answer:

The method of moment (MOM) estimator as:  [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]

[tex]\overline X = \dfrac{4}{9}[/tex]

[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]

Step-by-step explanation:

From the question, the correct format for the probability density function is:

[tex]fx(x ; \theta) = \left \{ {{\sqrt{\theta x}^{\sqrt{\theta}-1}}\ \ 0 \leq x \leq 1 \atop {0} \ \ \ \ \ \ \ otherwise } \right.[/tex]

where θ > 0 is an unknown parameter.

(a) The MOM estimator can be calculated as follows:

[tex]E(X) = \int ^1_0x. \sqrt{\theta} \ x^{\sqrt{\theta}-1} \ dx[/tex]

[tex]E(X) = \int ^1_0 \sqrt{\theta} \ x^{\sqrt{\theta}} \ dx[/tex]

[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 } ( x ^{\sqrt{\theta}+1})^1_0[/tex]

[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]

suppose E(X) = [tex]\overline X[/tex]

Then;

[tex]\overline X = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]

[tex]\dfrac{1}{\overline X} = \dfrac{\sqrt{\theta} +1 }{\sqrt{\theta}}[/tex]

[tex]\dfrac{1}{\overline X} =1 + \dfrac{1}{\sqrt{\theta}}[/tex]

making [tex]\dfrac{1}{\sqrt{\theta}}[/tex] the subject of the formula, we have:

[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1}{\overline X} - 1[/tex]

[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1-\overline X}{\overline X}[/tex]

[tex]\sqrt{\theta} =\dfrac{\overline X}{1-\overline X}[/tex]

squaring both sides, we have:

The method of moment (MOM) estimator as:  [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]

b) If the observations are [tex]\dfrac{1}{2}, \dfrac{1}{3}, \dfrac{1}{2}[/tex]

Then,

[tex]\overline X = \dfrac{\dfrac{1}{2}+ \dfrac{1}{3}+\dfrac{1}{2}}{3}[/tex]

[tex]\overline X = \dfrac{\dfrac{3+2+3}{6}}{3}[/tex]

[tex]\overline X = \dfrac{\dfrac{8}{6}}{3}[/tex]

[tex]\overline X = \dfrac{8}{6} \times \dfrac{1}{3}[/tex]

[tex]\overline X = \dfrac{8}{18}[/tex]

[tex]\overline X = \dfrac{4}{9}[/tex]

Finally, the point estimate of the estimator [tex]\theta[/tex] is

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{1-\dfrac{4}{9}} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{\dfrac{5}{9}} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{4}{5} \end {pmatrix}^2}[/tex]

[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]

Answer:

Sound travels 2258 feet in 2 seconds while travelling through air.

Step-by-step explanation:

When something varies directly as something else, their ratio of change always stays the same.

56 / 7 = 8

Therefore,

8 * 3 = 24

If x = 3 then y = 24

Answer: D

Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d

Answer:

3/8

Step-by-step explanation:

if u simplify you get half then add them the bigger dinominator is the bottom so only add the tops

Answer:

Let Elga's Age be x and Alvin's age be 3x

x + 3x = 116

4x = 116

x = 116/4

x = 29

Therefore , 3x = 3(29) = 87

Elga's Age - 29

Alvin's Age - 87

Answer: C

Step-by-step explanation:

For this problem, we need to graph y=2x-5. We can eliminate A and D because the graph is not y=2x-5. The main difference between B and C is the shading and line. Since we see the inequality is less than, but NOT equal to, we know that the line will be dashed. The solid line tells us that the graph reaches the line, meaning it is equal to. Therefore, we can eliminate B. C is the correct answer. We also know that the shading would be under the dashed line because it is LESS THAN.

Answer:

C. the number of non-guppies

Step-by-step explanation:

The number of non-guppies is the only variable the other two options have defined values.

Answer:

C, The number of non- guppies is the most important variable.

Step-by-step explanation:

The answer is the unknown variable that you're trying to find and the entire problem is to help you find the unknown.

Answer: [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex]

Step-by-step explanation:

To find [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})[/tex], we first need to understand the unit circle. Let's find the value of tan and cos before we subtract them.

[tex]tan(\frac{13\pi }{4} )[/tex] is the same as [tex]tan(\frac{5\pi }{4} )[/tex]. The point for [tex]\frac{5\pi }{4}[/tex] is (-0.5,-0.5). Tangent is [tex]\frac{sin}{cos}[/tex]. Since sin and cos are both -0.5, we can divide them.

[tex]\frac{-0.5}{-0.5} =1[/tex]

Now, we know that [tex]tan(\frac{13\pi }{4} )=1[/tex]. All we have to do is find [tex]cos(\frac{\pi }{3})[/tex].

[tex]cos(\frac{\pi }{3})=\frac{1}{2}[/tex]

Now that we know the values of both, we can directly subtract them.

1-0.5=0.5

Therefore, [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex].

Answer:

The expense of 7 men for 13 days is 18,200 Rs.

Step-by-step explanation:

The expense of 14 men for 8 days = 22400

The expense of 14 men per day = 22400/8 = 2800

The expense of 1 man per day = 2800/14 = 200

The expense of 7 men per day = 200*7 = 1400

The expense of 7 men for 13 days = 1400*13 = 18200

Hope that helps :)

Answer:

A) 14

Step-by-step explanation:

x - 6 > 10

Add 6 to both sides.

x > 16

The solution is all numbers greater than 16.

In the choices, only 14 is less than 16.

Answer: A) 14

Answer:

a

Step-by-step explanation:

x-6 [tex]>[/tex] 10

14-6 [tex]>[/tex]10

8 is less than 10

Answer:

37,  ABD = CBD = 44 degrees, and ABC = 88 degrees

38.  ABD = CBD = 24 degrees, and ABC = 48 degrees

39.  ABD = CBD = 65 degrees, and ABC = 130 degrees

40.  ABD = CBD =67 degrees, and ABC = 134 degrees

Step-by-step explanation:

Recall that when a segment bisects an angle, the angle is divided in equal parts then we have:

37.  

6 x + 14 = 3 x + 29

3 x = 19 - 14 = 15

x = 15/3

x = 5

then ABD = 6 (5) + 14 = 30 + 14 = 44 degrees

CBD must equal ABD , so CBD = 44 degrees

And the total angle ABC = 88 degrees

38.

3 x + 6 = 7 x - 18

24 = 4 x

x = 24/4 = 6

Then ABD = 3 (6) + 6 = 24 degrees. Also CBD = 24 degrees and ABC = 48 degrees

39.

- 4 x + 33 = 2 x + 81

- 6 x = 81 - 33

-6 x = 48

x = - 48/6

x = -8

Then ABD = -4 (-8) + 33 = 32 + 33 = 65 degrees

The also CBD = 65 degrees, and ABC = 130 degrees

40.

8 x + 35 = 11 x + 23

35 - 23 = 11 x - 8 x

12 = 3 x

x = 12/3

x = 4 degrees

Therefore:

ABD = 8 (4) + 35 = 32 + 35 = 67 degrees.

Then also CBD = 67 degrees, and ABC = 134 degrees

Answer:

1.5 per hour.

Step-by-step explanation:

By proportion that is 5.4 / 3.6

= 1.5 per hour.

Answer:

The decimal 0.9988 to a fraction is 9988/10000

Answer:

9988

_____

10,000

Step-by-step explanation:

I got it correct on test :)))

Answer:

-2

Step-by-step explanation:

-15+7y=-25+2y

7y-2y=-25+15

5y= -10

5y/5= -10/5

y= -2

Answer:

y= -17/5 or -3.4

Step-by-step explanation:

-8+7y= -25+2y

5y= -17

y= -17/5 or -3.4

Answer:

3239.95

Step-by-step explanation:

Answer: 5,400 units

Step-by-step explanation:

if you multiply 3,500 units by 40%, you get the quotient 1,900, which is 40% if 3,500. if you add the quotient, 1,900, to the total amount of units already, 3,500, you get the total of 5,400 units

Answer:

Center: (0, 0)

Radius: 4

Step-by-step explanation:

Circle Standard Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r is radius

We see that our h and our k are both 0.

∴ Our center is (0, 0), origin.

We see that our r² = 16

√r² = √16

∴ Our radius is equal to 4

Answer:

12 miles

Step-by-step explanation:

60 min in 1 hr and 10 min = 1 mile..... so 6, 10 min intervals..... and so 6 time 2 is 12