If the previous balance on your credit card account is $288.44, the periodic rate is 0.7%, you made a payment of $45, and you had new purchases of $120.33, then how much is the new balance this month?

Answer:

D)

Step-by-step explanation:

5x5+5=30

8x9+7=79

24x3+28=100

Answer:

There is not enough evidence to support the claim that drug is effective at 1%

Step-by-step explanation:

For this we use the pored test as we have dependent test;

Difference :

10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

The mean of d, dbar = Σd / n = 44 / 18 = 2.44

The standard deviation, Sd = 4.45 (using calculator)

The test statistic, T : dbar / (Sd/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

The Pvalue = 0.0326

α = 0.01

Since Pvalue < α ; we fail to reject H0

The missing value is $972, which is the simple interest on a principle of $5,400 for 2 years at a rate of 18%.

To find the simple interest, we can use the formula:

Simple interest = (Principle x Rate x Time) / 100

Substituting the given values:

Simple interest = (5400 x 18 x 2) / 100

Simple interest = (97200) / 100

Simple interest = 972

Therefore, the missing value is $972, which is the simple interest on a principle of $5,400 for 2 years at a rate of 18%.

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Answer:

x = 25

y = 6

Step-by-step explanation:

< B = < M

2x - 20 = 30

2x = 50

x = 25

AB = LM

7y - 8 = 2y + 22

5y = 30

y = 6

Answer:

D. 5.

Step-by-step explanation:

Yes.

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

\(ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\<=> \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }\)

Thank you

Answer

Sum of the first 13 terms = 8191

Explanation

The sum of terms in a geometric term is given as

where

a = first term = 1

r = common ratio = ratio of consecutive terms = (Second term)/(First term) = (2/1) = 2

n = number of terms = 13

Hope this Helps!!!

Answer:

D.4 3/4

Step-by-step explanation:

hope it helps you

Answer: Rectangle

Step-by-step explanation:

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad\displaystyle \tt \rightarrow \: y = - \frac{3}{4}x - 9\)

____________________________________

\( \large \tt Solution \: : \)

The given equation is :

\(\qquad\displaystyle \tt \rightarrow \: 9x +12y = -108\)

\(\qquad\displaystyle \tt \rightarrow \: 12y = - 108- 9x\)

\(\qquad\displaystyle \tt \rightarrow \: y = \frac{ -108}{12} - \frac{9x}{12} \)

\(\qquad\displaystyle \tt \rightarrow \: y = - \frac{3}{4}x - 9\)

And this the equation of same line in its slope intercept form, where slope (m) = -3/4 and y - intercept = -9

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

9

Explanation:

Given the expression:

When the value of a =1/2

The value of the expression when a=1/2 is 9.

Limit of x approaches two from the left of f of x: 3. Limit of x approaches two from the right of f of x: - 1 (negative 1)

If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.

In order to find the limit as x approaches two from the left of f of x:

Lim x→2- f(x) = ?

According to the graph, when x approaches two from the left (x<2), the function approaches 3:

Lim x→2- f(x) = 3

IN order to find the limit as x approaches two from the right of f of x:

Lim x→2+ f(x) = ?

According to the graph, when x approaches two from the right (x>3), the function approaches -1:

Lim x→2+ f(x) = - 1

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Answer:

CD is 6 cm and DE is 4 cm.

Step-by-step explanation:

Well it‘s the correct answer and I got it right so good luck out there bois!

The rate of change of radius of spherical balloon is  0.00418 feet per second.

First, we need to find an equation that relates the radius and the volume of the balloon. We can use the formula for the volume of a sphere

V = (4/3)πr^3

To solve for the rate of change of the radius, we can use the chain rule of differentiation

dV/dt = dV/dr * dr/dt

where dV/dt is the rate of change of the volume, dV/dr is the derivative of the volume with respect to the radius (which is 4πr^2), and dr/dt is the rate of change of the radius.

We know that the helium is pumped into the balloon at a rate of 5 cubic feet per second, so dV/dt = 5. We want to find the rate of change of the radius after 3 minutes, which is equivalent to 180 seconds.

Substituting these values into the equation above and solving for dr/dt, we get:

5 = 4/3 * π * r^2 * dr/dt

dr/dt = 5 / (4/3 * π * r^2)

We don't know the radius of the balloon, but we can use the fact that the volume of the balloon increases at a constant rate of 5 cubic feet per second to find it. After 3 minutes (180 seconds), the volume of the balloon will have increased by:

ΔV = 5 * 180 = 900 cubic feet

Using the formula for the volume of a sphere, we can solve for the radius:

V = (4/3)πr^3

r = (3V/4π)^(1/3)

Substituting ΔV = 900, we get:

r = (3*900/4π)^(1/3) ≈ 7.91 feet

Now we can substitute this value into the equation for dr/dt

dr/dt = 5 / (4/3 * π * (7.91)^2) ≈ 0.00418 feet/second

Therefore, the radius is increasing at a rate of approximately 0.00418 feet per second after 3 minutes.

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--The given question is incomplete, the complete question is given

"  Helium is pumped into a spherical balloon at a rate of 5 cubic feet per second. How fast is the radius increasing after 3 minutes?

Note: The volume of a sphere is given by V=(4/3)pi*r^3

Rate of change of radius (in feet per second) = "--

Answer:

218,500 - (3.5% down payment) =

210,852.50

30 years = 360 months

rate 6.5%

Use the loan payment formula (REALLY complex - see attached).

rate = 6.5/1,200 = 0.005416667

monthly payment = (rate + [rate / (((1 + rate)^months) -1)] * principal

monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] * principal

monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] * principal

monthly payment = 0.005416667 + [(0.005416667 / 6.9917988084 -1)] *  210,852.50

monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] *  210,852.50

monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] *  210,852.50

monthly payment = (0.005416667 + 0.0009040135) * 210,852.50

monthly payment = 0.0063206805 * 210,852.50

monthly payment = 1,332.73

Answer is a.

Answer:

3x - 53

Step-by-step explanation:

3x - 57 - 2 +6

-57 - 2 = -59

-59 + 6 = -53

3x - 53

Answer:

3x - 57 - 2 + 6 =

3x - 57 + 4 =

3x - 61

Step-by-step explanation:

Answer:

A) 10^23

Step-by-step explanation:

if bases are the same and you're multiplying then:

keep the base and add the exponents

Step-by-step explanation:

step 1

Answer:

Step 1)-She switched the divisor and the dividend in step 1 when creating an equation to model the problem.

Step-by-step explanation:

I got it right on my unit test :>

The probability to get a 3 or 4 in the third toss and 6 in the fourth toss is 1/18.

The sample space for a six-sided die is

{1, 2, 3, 4, 5, 6}

Hence the total number of possibilities = 6

The rolling of a die is IID that is Independently and Identically distributed.

Hence,

the result of one toss will not affect the result of the successive tosses.

Probability

= n(E)/n

= no of favorable outcomes for any event /total no. of outcomes

Here,

n = 6

Let A be the event of getting a 3 or 4 in the third toss

Let B be the event of getting 6 on the fourth toss

E(A) = {3,4}

n(A) = 2

Hence,

P(A) = 2/6

= 1/3

B = {6}

n(B) = 1

P(B) = 1/6

Since these are IID,

P(A and B) = P(A) X (B) [Property of independent events]

Hence P(A∩B) = 1/3 X 1/6

= 1/18

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The trend projection for time period 18 is 197.6. The correct option is B

A mathematical equation used to represent the trend or pattern seen in a time series of data is called a linear trend expression, sometimes referred to as a linear trend model.

To find the trend projection for time period 18 using the given linear trend expression, we substitute t = 18 into the equation:

Yt = 129.2 + 3.8t

Y18 = 129.2 + 3.8 * 18

Y18 = 129.2 + 68.4

Y18 = 197.6

Therefore, the trend projection for time period 18 is 197.6.

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Answer:

The total number of gallons of fuel used in 22 full-day trips and 16 half-day trips is 307 gallons.

Step-by-step explanation:

To find the total number of gallons of fuel used, we have to multiply the used amount of fuel for a full day and a half day to their respective amounts.

In this case, the total number of gallons used for full day trips would be:

\(9 \frac{1}{2} \ gallons \ \cdot 22 \ full-day \ trips\)

\(= (9 \frac{1}{2} \cdot 22) \ gallons\)

\(= 209 \ gallons\)

And the total number of gallons used for half day trips would be:

\(6 \frac{1}{8} \ gallons \ \cdot 16 \ half-day \ trips\)

\(= (6 \frac{1}{8} \cdot 16) \ gallons\)

\(= 98 \ gallons\)

Hence, the total number of gallons used for the full day trips would be 209 gallons, while the total number of gallons for the half day trips would be 98 gallons.

Therefore, the total number of gallons would be (209 + 98) gallons which is equal to 307 gallons.

Hope this helped!

Answer:

The total number of gallons is 3,130

Step-by-step explanation:

The fishing boat uses 95 gallons of fuel when used for a full-day fishing trip. It's also known that a half-day trip needs 65 gallons of fuel.

It's required to find the total number of gallons needed for 22 full-day trips and 16 half-day trips.

22 full-day trips * 95 gallons = 2,090 gallons

16 half-day trips * 65 gallons = 1,040 gallons

Total gallons used: 2,090 gallons + 1,040 gallons = 3,130 gallons.

The total number of gallons is 3,130

Estimation involves using a convenient value, close to the actual value, for calculations; especially in the absence of a calculator. The estimated number of gallons she needs to get to the station is 3 gallons.

Given that:

\(Speed= 70mph\)

\(Time = 1.25hr\) ---- equivalent of 1hr 15mins

\(Rate = 30 m/gallon\)

First, she will need to estimate the distance she can cover using:

\(Distance= Speed \times Time\)

An estimate of the calculation is:

\(Distance= 70mph \times 1.5 = 105m\)

The number of gallons is then estimated as follows:

\(Gallons = D ista nce\div Rate\)

Because the estimated distance is 105 m; she can use 35 as an estimate the rate of miles per gallon; instead of 30

\(Gallons = 105m \div 35m/gallon\)

\(Gallons = 3gallon\)

So, the estimated number of gallons she needs is 3 gallons.

We can check if the estimate is true or close by calculating the actual values.

\(Distance= Speed \times Time\)

\(D i s t a n c e= 70mph \times 1.25hr=87.5m\)

\(Gallons = D ista nce\div Rate\)

\(Gallons = 87.5m \div 30m/gallon =2.92m\)

Hence, the estimated number of gallons she needs to get to the station is 3 gallons.

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Answer: x * 12 + 25 = 75

Step-by-step explanation:

product of a number and twelve — x*12

Twenty five more than the product of a number and twelve — x * 12 + 25

Twenty five more than the product of a number and twelve is seventy five — x * 12 + 25 = 75

The rate-of-change of area of triangle is changing when height is 16 cm and base is 12 cm is 30 cm²/min.

We know that the area of a triangle is given by the formula

⇒ A = (1/2)×b×h, where b = length of base and h = height,

We are given that the base is shrinking at a rate of 3 cm/min,

So, we have db/dt = -3 cm/min.

We are also given that the height is increasing at a rate of 9 cm/min,

So, we have dh/dt = 9 cm/min.

We need to find the rate at which the area of the triangle is changing with respect to time (dA/dt), when h = 16 cm and b = 12 cm.

⇒ dA/dt = (1/2)(db/dt)(h) + (1/2)(b)(dh/dt)

Substituting the values,

We get,

⇒ dA/dt = (1/2)×(-3)×(16) + (1/2)×(12)×(9),

⇒ dA/dt = -24 + 54,

⇒ dA/dt = 30 cm²/min

Therefore, the rate at which the area of the triangle is 30 cm²/min.

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When conducting an experiment with the probability of a success of 0.02 and you are interested in the probability of 2 successes in 15 trials, the correct probability function to use is the binomial probability function. (Option B)

Binomial probability function, in probability theory and statistics, refers to the discrete probability distribution of the number of successes in a sequence of repeated independent experiments. Generally, the binomial distribution represents data generated from a yes–no question, and each with its own Boolean-valued outcome: success or failure.  As the experiment where probability of success is given and you are interested in the probability of 2 successes in 15 trials, the appropriate probability function is binomial probability function.

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