Plz hurry

What is the measure of each angle?


40 points!!!!

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer: x= 0,8.75 y=0,-7

Step-by-step explanation:

The expression for the sum of m and a term depending on m will be m + 3(m - 11)².

The product of m and a multiple of m will be m(-8m).

A product of m and a factor not depending on m will be -3mn²

The difference between n and a factor depending on m will be:

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Answer:

5

Step-by-step explanation:

Answer:

5 miles per hour

Step-by-step explanation:

Based on the provided information, the sum of the first 19 terms of the arithmetic series is 57.

An arithmetic series is a sequence of numbers such that the difference between the consecutive terms is constant. A geometric series is a sequence of numbers such that they have a constant ratio between successive terms.

Let the five terms of the geometric series be (such that r the common ratio is eliminated from the product to find a)

a/r^2, a/r, a, ar, ar^2

As the product of the first five terms of a geometric series is 243,

a/r^2* a/r * a* ar* ar^2 = 243

a^5 = 243

a^5 = 3^5

a = 3

Hence, the third term of the geometric series is 3.

Consider the arithmetic series,

b, b + d, b + 2d, …. b + (n – 1)d,… where d is the common difference.

The tenth term of the arithmetic series is

b + (10 -1)d

b + 9d

As the tenth term of the arithmetic series is equal to third term of the geometric series,

b + 9d = 3

The sum of the n term is: n/2(2b + (n - 1)d)

When n = 19

19/2(2b + (19-1)d)

19/2(2b + 18d)

19(b + 9d)

19*3

57

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Answer:

3/8

Step-by-step explanation:

hope this helped

Answer:

The equation would be: 2.27 + j = 51.23 and j = 2.04

Step-by-step explanation:

1. You will do 51.23 - 2.27, which equals 48.96

2. Then, you will divide 48.96 by 24, this equals 2.04  

Hope this helps!

An equation is formed of two equal expressions. The cost of each bottle of juice is $2.04.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Emma bought a bag of hips for $2.27 and a 24-pack of juice bottles. The total cost before tax was $51.23. Therefore, the equation for the total cost can be written as,

Total cost = Cost of a bag of hips + (Number of Juice bottles × Cost of Juice bottles)

$51.23 = $2.27 + (24 × j)

51.23 - 2.27 = 24j

24j = 48.96

j = 48.96 / 24

j = 2.04

Hence, the cost of each bottle of juice is $2.04.

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Since the ratio of boys to girls is 4:3, then to know how many boys there are, we will multiply the ratio of boys to 9.

\(4 \times 9 = 36\)

Therefore, there are 36 boys.

Do the same for girls.

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Answer:

see below

Step-by-step explanation:

A

Add the students who passed french, german, both

add 17+19+11 = 47

Subtract this from 55 to get b

b = 55-47 =8

b =8

B

P( passed french and german)

    = number that passed french and german / total

    = 19/55

P( french or german) =

  = number that passed french or german / total

    = (17+11)/55 =28/55

Answer: The top right, the straight horizontal line that is right next to it, and the bottom right

Step-by-step explanation:

They pass the vertical line test.

Answer:

Horizontal line

Slanted line

Bottom right line

Step-by-step explanation:

Answer:

Hello! answer: 544

Hope this helps!

The surface area of the given triangular prism is 544 units³

A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides.

Given that are the dimensions of a triangular prism, we are asked to find its surface area,

Surface area = (perimeter × length)+(base area)

Surface area = [(10+10+12)×14]+(8×12)

= 32×14+96

= 448+96

= 544

Hence, the surface area of the given triangular prism is 544 units³

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Answer: A number used to multiply a variable. An example: 6x means 6 times x, and "x" is a variable, so 6 is a coefficient.

-2.05 is the critical value for the left-tailed test .

What is critical z value?

The -1.96 and +1.96 standard deviations are the essential z-score values when adopting a 95 percent confidence level.

                               With a 95 percent confidence level, the uncorrected p-value is equal to 0.05.The critical value for a two-sided test is Z 1-/2, while for a one-sided test, it is Z 1.

                      You reject the null hypothesis if the absolute Z-value is higher than the crucial value. If not, you have not successfully ruled out the null hypothesis.

Given that,

α = 0.02.

left tailed test

Zα = 0.02 = -2.05

critical value = -2.05

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Answer:

a ≥ -4

Step-by-step explanation:

a/2 +1 ≥ -1

Answer: negative

Step-by-step explanation: A negative multiplied by any number of positives will always be negative.

Answer:

7.04 × 10⁵

Step-by-step explanation:

Standard form (also called "Scientific notation ") is written in the form of

\(a \times 10^n\) , where \(1\leq a < 10\) and \(n\) is any positive or negative whole number.

To convert a number into standard form, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is the power of 10 (the value of n).

Seven hundred and four thousand = 704000

To convert 704000 to standard form, move the decimal point 5 places to the left so that the value of "a" is 7.04.  As the decimal point has been moved 5 places the left, we need to multiply 7.04 by 10⁵.

Therefore, 704000 = 7.04 × 10⁵.

Answer:

7.04 × 10⁵

Step-by-step explanation:

We have to convert,

→ Seven hundred and four thousand into standard form.

Now the standard form is,

→ 704000

→ 7.04 × 10⁵

Hence, the answer is 7.04 × 10⁵.

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

The answer is 4

Step-by-step explanation:

I did it and got it right

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The cube root of 126.2 is approximately 0.016 larger than the cube root of 125.

Linear approximation is a strategy for approximating the values of complicated functions. When a graph is relatively straight, this approximation is quite effective. A linear approximation for a function is a straight line that represents a close approximation of the original function.

The formula to be used is given by

df/dx = (f(x+dx)-f(x))/dx

The first derivative of the cube root of x can be computed as follows:

f(x) = x^(1/3)

df/dx = (1/3)*x^(-2/3)

Using this formula, we can calculate the linear approximation of the cube root of 126.2. This can be done as follows:

f(x + dx) ≈ f(x) + df/dx * dx

In the given case, the f(x) = ∛125 ⇒ 5

Let dx = 126.2 - 125 ⇒ 1.2

Then the linear approximation of the cube root of 126.2 is given by

f(126.2) ≈ f(125) + df/dx * dx

⇒ f(126.2) ≈ 5 + (1/3)*125^(-2/3) * 1.2

⇒ f(126.2) ≈ 5 + 0.016

⇒ f(126.2) ≈ 5.016

Therefore, the cube root of 126.2 is roughly 0.016 greater than the cube root of 125.

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The equations are

\(\\ \tt\hookrightarrow y=0.50x+75\)

\(\\ \tt\hookrightarrow y=0.55x+69.10\)

Now

\(\\ \tt\hookrightarrow 0.55x+69.10=0.50x+75\)

\(\\ \tt\hookrightarrow 0.55x-0.50x=75-69.1\)

\(\\ \tt\hookrightarrow 0.05x=5.9\)

\(\\ \tt\hookrightarrow x=5.9/0.05\)

\(\\ \tt\hookrightarrow x=118mi\)

The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.

To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.

Provided:

Sugar limit: 8.5 × 10^(-2) kg

Coca Cola sugar content: 110 g/L

Volume of a 12 oz can: 12 oz (which is approximately 355 mL)

First, let's convert the sugar limit from kilograms to grams:

Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g

Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:

Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L

Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g

Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:

Number of cans = Sugar limit / Amount of sugar in a can

Number of cans = 85 g / 39.05 g ≈ 2.18

Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.

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Answer: d pretty sure :)

Step-by-step explanation:

Answer:

the vector product or cross product is an operation between two vectors that result in a third vector perpendicular to the original two. geometrically, it represents the area of the parallelogram formed by the two input vectors

Answer: 700

Step-by-step explanation:

Answer:

700

Step-by-step explanation:

copy and paste

Step-by-step explanation:

The given shape is a cube.

SURFACE AREA

= 6(a²)

= 6(5²)

= 6(25)

= 150cm²

Answer:

150 cm²

Step-by-step explanation:

Given figure is of a cube, probably like an ICE cube.

Surface area = ?

We know that,

Here a denotes edge.

Given that edge is 5 .

Substituting,

SA of cube = 150 cm²

Step-by-step explanation:

let's think about it logically :

|x| can only be positive, from 0 to +infinity.

but the second part "- 4" will bring the result for small x values into the negative realm.

x = 0 gives us f(x) = -4.

x = 4 gives us f(x) = 0

x = -4 gives us f(x) = 0

so, if is the 3rd graph (bottom left).

Answer:

C

Step-by-step explanation:

Answer:

Answer = 15

Step-by-step explanation:

10% is taking away the precentage away from the original price. 2, 4, 6 ,8 ,10, 12 ,14 ,16,18 is the 100% Its the WHOLE number. youre taking away 10% off.

Answer:-20

Step-by-step explanation:

Answer:

7, 7 1/8, 7 3/8, 7 5/8, 7 3/4, 8, 8 1/4, 8 1/2, 8 7/8

Step-by-step explain:

7 is the smallest number in the given numbers. 7 1/8 is the second smallest because 1/8 is smaller than 1/4. You can also think of it like you have a pizza/pie/cake and 1/8 of that cake is 1 piece of the cake that has 8 pieces in total. 1/4 on the other hand is a bigger piece. You can use this information to figure out future problems. 1/4 is the same as 2/8. In other words, 1/4 is equal to 2 slices of pie/cake/pizza/whatever you want it to be because if you take a cake, cut it into 4 pieces, then cut the 4 pieces in half. You will get 8 pieces.

Answer:

b good luck with the answer