Mariah has a total of $15,000 invested in two accounts. The total amount of interest she earns from the accounts in the first year is $1540. If one account pays 8% per year and the other pays 12% per year, how much did she invest in each account?

Answer:

47

Step-by-step explanation:

x is one of the three angles of a triangle. The other two are given as 95 and 38.

Together all three have to make 180 degrees.

x + 95 + 38 = 180

x + 133 = 180

x = 180 - 133

x = 47

Answer:

47

Step-by-step explanation:

as we know that sum of a triangle is always=180°

so x+38°+95°=180

so x+133=180

and x=180-133

so x= 47

The calculated period of the function is 12

From the question, we have the following parameters that can be used in our computation:

The graph

By definition, the period of the function is calculated as

Period = Difference between cycles or the length of one complete cycle

Using the above as a guide, we have the following:

Period = 13 - 1

Evaluate

Period = 12

Hence, the period of the function is 12

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We have to solve for y the next equation:

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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The top angle is right (90 degrees, kinda looks like a bent elbow).

The 2nd is acute (smaller than 90, kind of 'cute' bc it's small).

The 3rd is obtuse (greater than 90, I have nothing corny to say, sorry).

4th is acute.

5th is straight because it's a straight line.

6th is also obtuse.

Have a good day :)

Answer:

-1

Step-by-step explanation:

-3(2) = -6 + 5 = -1

Answer:

-1

Step-by-step explanation:

-3u + 5 =?

when u=2

= -3(2) + 5

= -6 + 5

= -1

Answer:

Step-by-step explanation:

We can use the formula for a confidence interval for the population mean:

CI = x¯¯¯ ± z*(σ/sqrt(n))

where:

x¯¯¯ is the sample mean, which is 81.

σ is the population standard deviation, which is 11.8 (assuming the sample is drawn from a normally distributed population).

n is the sample size, which is 175.

z is the z-score corresponding to the desired level of confidence, which is 2.33 for a 98% confidence level.

Substituting the known values, we get:

CI = 81 ± 2.33*(11.8/sqrt(175))

Calculating this expression, we get:

CI ≈ (79, 83)

Therefore, a 98% confidence interval for the population mean is approximately (79, 83).

Therefore, the answer is (B) (79, 83).

Answer:

8

Step-by-step explanation:

Answer:

6740

Step-by-step explanation:

Answer:

There is no function provided

FYI

Domian is all x-values

range is all y-values

For ex..

(-3,6)

-3 is domain

6 is range

Step-by-step explanation:

The probability that both the father and mother are current smokers is 0.2 or 20%.

To find the probability that both the father and mother are current smokers, we need to find the joint probability. The joint probability is the probability of both events happening at the same time. In this case, the events are the father being a current smoker and the mother being a current smoker.

The probability that both the father and mother are current smokers can be found by multiplying the probabilities of each event.

P(father is a smoker) = 0.4

P(mother is a smoker) = 0.5

Therefore,

P(both father and mother are smokers) = P(father is a smoker) × P(mother is a smoker) = 0.4 × 0.5 = 0.2

So, the probability that both the father and mother are current smokers is 0.2 or 20%.

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Answer:

Reggie travels a speed of 55 miles an hour

Step-by-step explanation:

Work done lifting the bucket and rope to the top of the building is 4005.75 Joules

To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd. If the force is being exerted at an angle θ to the displacement, the work done is W = fd cos θ.

Initially bucket hold = 25kg. Sand

Sand leaks 0.1 kgs each meter it is lifted

At height x meter bucket hold = (25 - 0.1x) kg of sand

Length of rope = 15 meter

density of rope = 0.4kg / meter

weight of rope = 15 (0.4) = 6kg.

At height x meter, weight of rope = (6 - 0.4x)

Total weight at height x meter = (25-0.1x) + (6-0.4x)

                                                   = (31 - 0.5x) kg

force = (31-0.5x) g Newtons. = [(31-0.5x) 9.8] Newton

Work = force × displacement

\(Work= \int_{0}^{15}9.8(31-0.5x)dx\)

          \(=9.8[31x-0.5 \frac{x^2}{2} ]_{0}^{15}\)

          \(=9.8[31(15)-0.25(15)^2]-0\)

          \(=4005.75 joules\)

Hence, work done 4005.75 Joules

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The sum of slip is 9 small coffee order, then sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

A hat contains 4 slips of paper labeled as 3,3,6 and 8. One slip is selected randomly and without replacing, another one is selected. The number on the slips are added together.

The probability of getting a sum of 6 (3+3) is,

\(P_(3,3)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(3,3)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(3,3)=\dfrac{2}{12}\\P_(3,3)=\dfrac{1}{6}\)

The probability of getting the sum of 9 (6+3) or (3+6) is,

\(P_(3,6)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,6)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,6)=\dfrac{4}{12}\\P_(3,6)=\dfrac{1}{3}\)

The probability of getting the sum of 9 (6+3) or (3+6) is,

\(P_(3,8)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,8)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,8)=\dfrac{4}{12}\\P_(3,8)=\dfrac{1}{3}\)

The probability of getting a sum of 6 (3+3) is,

\(P_(6,8)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(6,8)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(6,8)=\dfrac{2}{12}\\P_(6,8)=\dfrac{1}{6}\)

There are three size of coffee to order:

Thus, when the sum of slip is 9 small coffee order, if sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.

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Answer:16

Step-by-step explanation:

I just took this test on edgueinity

Answer:

b

Step-by-step explanation:

Ava 2022

There are several different ways in solving this problem. For example, we will use fractions. We will use the variable "\(x\)" to solve.

w = 4, Z = 12

w = 6, Z = \(z\)

Step 1: Set up a fraction.

Make sure the units are on the same level. For this case, w6 and w4 are on the bottom. Although they can be anywhere, they just have to be at the same level.

\(\frac{12}{4} = \frac{z}{6}\)

Step 2: Solve for \(z\)

\(\frac{12}{4} = \frac{z}{6}\\\\3 = \frac{z}{6}\)

\(6\cdot[3 = \frac{z}{6}]\cdot6\)

6 cancels 6, so we are left with \(z\)

3 times 6 = 18

\(18=z\)

\(z=18\)

Answer:

2/5

Step-by-step explanation:

4 raspberry / 10 total

4/10

2/5

The slope of this line is equal to -4.

An equation of the line in slope intercept form that goes through the point (-5,-4) and is perpendicular to y = 1/4x - 2 is y = -4x - 24.

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

From the information provided, we have the following:

y = 1/4 x - 1. Therefore, the slope, m is equal to 1/4.

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

1/4 × m₂ = -1

m₂ = -4

At point (-5, -4), an equation of this line can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

y - (-4) = -4(x - (-5))

y + 4 = -4x - 20

y = -4x - 20 - 4

y = -4x - 24

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The solution to the given expression is x = -20/11

Logarithmic function are inverse of exponential functions. Given the equation below;

log (6 x + 10) = log 1/2 x

In order to determine the solution to the given logarithmic equation, we will first have to cancel the logarithm on both sides to have

6x + 10 = 1/2x

Collect the like terms

6x - 1/2x = 0 - 10

Find the LCD

12x-x/2 = -10
11x/2 = -10

Cross multiply

11x = -2 * 10

11x = -20

Divide both sides by 11

11x/11 = -20/11

x = -20/11

Hence the solution to the given expression is x = -20/11

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Answer:

.35 kilometers

Step-by-step explanation:

Answer:

.35 kilometers

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)  DE = 6/sin63 = 6.7

DF = 6/tan63 = 3.1

m∠E = 180 - 90 - 63 = 27°

2)  tan30 = 1/√3 = UV / (27√10)

UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30

3)  cosV = 3/8

cos⁻¹(3/8) = 68

m∠V = 68°

The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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Answer:

2(y-2)(y+1)

Step-by-step explanation:

If P is the minimum number of tests to achieve full statement coverage for f(x) and Q is the minimum number of tests to achieve full branch coverage for f(x), then (P,Q) =(3, 4)

Branch coverage: During program testing, every branch in a statement must be run at least once.

Coverage of the statement:

This means that during testing, every statement in the computer code must be run at least once.

All of the statements must be executed in order to obtain complete statement coverage.

Statement coverage is calculated as (statement executions divided by total statement executions).

To obtain complete statement coverage in the code above, two test cases are necessary.

Case 1: If the if condition is satisfied,

{

int res=0;

if(m<0) {res=n-m;}

return res;

}

These commands will be carried out.

Case 2: All remaining statements will also be put into effect when the other two cases of else do. Full statement coverage is attained after three tests.

Branch coverage: It includes both true and false situations and is decision-based.

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Answer: p = 22 + 2.50t

P = pizza price.

T = topping.

BA=(3),(3),(-1) is the answer

Answer:

Add all 25-29 ages together to get your answer

Step-by-step explanation: