Mathematics High School

The following information is known about a savings account.

Time = 6 years
Interest rate = 1.9%
Principal = $850

What amount of total interest will be earned at the end of year 6?
$16.15
$96.90
$946.90
$9,690.00

Answers

Answer 1

Answer:

96.90

Step-by-step explanation:

850  *  .019  *  6   =

  This is simple interest ( no compounding interest)

Answer 2

Answer:

$96.90

Step-by-step explanation:

Let's find 1.9% of our amount, which is $850.

1% of 850 = 8.5

we need to get 1.9%, so lets multiply our current 1 percent by 1.9, to get what 1.9% would be.

1% of 850 = 8.5

x1.9 x1.9

1.9% = 8.5 x 1.9

1.9% = $16.15

This means that every year, the savings account gains $16.15 in interest. However, this doesn't account for all 6 years. So we multiply 16.15 by 6, for the 6 years that the money is in the saving account for.

$16.15 x 6 = $96.90 !

So, the total interest is $96.90 :)

Related Questions

Given that cos 63°≈ 0.454, enter the sine of a complementary angle.
sin

Answers

Answer:

[tex]\cos(63^\circ)[/tex] is the same as [tex]\sin(27^\circ)[/tex] by co-function identities

Step-by-step explanation:

Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.

Also recall the co-function identities:

sin (90° – x) = cos xcos (90° – x) = sin x

This means that [tex]\cos(90^\circ-27^\circ)=\sin(27^\circ)\approx0.454[/tex].

A student will ask his classmates one survey question. Which of the following is a statistical question that should result in varied responses?
A.
What is the length of a yardstick in inches?
B.
What is the total number of inches in 3 feet?
C.
What is the total number of cups in 1 gallon?
D.
What is the number of gallons of water in a pool?

Answers

Answer:

D) What is the number of gallons of water in a pool?

Step-by-step explanation:

A statistical question consists of varied responses and not just 1 specific answer. For example, the first 3 questions only have 1 specific answer each, while the last question can vary depending on the size of the pool.

D. what is the number of gallons of water in pool

make x the subject from m=n+x/p

Answers

Answer:

x = p(m - n)

Step-by-step explanation:

Solve m=n+x/p for x.  Start by eliminating the fraction:  Multiply all three terms by p.  Then we have mp = np + x, which is the same as x = mp - np, or

x = p(m - n)

simplify each expression 3(m-5)+m

Answers

When you have a product of a single term and a binomial, you have to multiply it in to both terms.

3(m-5) + m

3m - 15 + m

4m - 15

What is the volume, in cubic inches, of a rectangular prism with a height of 19 inches,
a width of 8 inches, and a length of 17 inches?

Answers

Answer: 2584

Step-by-step explanation: Length × height × width

Bruno will spin the arrow on the spinner 2 times. what is the probability that the arrow will stop on c at least once? 19 29 13 59

Answers

The probability that the spinner will land on c at least once is 5/9

How to determine the probability?

From the complete question, the probability that the spinner will not land on c when spun twice is:

P = 4/9

Using the complement rule, the probability that the spinner will land on c at least once is:

P' = 1 - P

This gives

P' = 1 - 4/9

Evaluate

P' = 5/9

Hence, the probability that the spinner will land on c at least once is 5/9

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Answer: 5/9

Step-by-step explanation: i took the test and passed

(36√6 + 6^5/2 / 108×12)^2=6^n , then find the value of n?

[tex](\frac{36\sqrt{6}+6^{\frac{5}{2}}}{108\times12})^{2}=6^{n} \\ [/tex]


Thank you.....​

Answers

Step-by-step explanation:

Given: [{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ

Asked: Find the value of n = ?

EXPLANATION:

Given that:

[{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ

⇛[{(6)² * (6)^(1/2) * (6)^(5/2}/(36 * 3 * 12)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(36 * 36)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(6*6 * 6*6)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(6² * 6²)]² = 6ⁿ

⇛(6³⁻²)² = 6ⁿ

⇛(6¹)² = 6ⁿ

⇛6² = 6ⁿ

When an exponential has the same base on each side, then the exponents must be equal.

Therefore, n = 2.

Answer: The Value of “n” for the given problem is 2.

The lengths of all sides are different in which type of triangle?.

Answers

Let's first consider all the different types of triangles:

Scalene Triangle: all side lengths of this triangle are of different lengthsIsosceles Triangle: the lengths of two of the three sides of the triangle are equalEquilateral Triangle: lengths of all the sides are equal

What we are looking for:

   ⇒a triangle with all the sides of different length

The only triangle to fit that requirement is: Scalene Triangle

Hope that helps!

Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Barbie selects a coin and puts it back in the jar and then Darren selects a coin from the jar. Is this a set of independent or dependent events?

Answers

Answer:

Independent

Step-by-step explanation:

Barbie selecting a coin and putting it back in has no effect on Darren selecting a coin from the jar, as the numbers of each coin never changed. So, both events are independent with neither relying on the other.

Mr.Portillo says that he can solve 32 divided by 8 by thinking about 8 x ? =32. Why is this true?

Answers

Answer:

this is true because he knows that 8 times 4 is 32 then he will automatically know that 8 divided by 32 will be 4 since 8 was a factor.

Step-by-step explanation:

I suck at explaining stuff but yeah this is true bc two factors of a number divided by it will always be the other factor yk

factor the polynomial

x^2y + x

Answers

Answer:

x(xy + 1)

Step-by-step explanation:

The two terms have the common factor x.

x²y + x = x(xy + 1)

A hot air balloom travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour?

Answers

Answer:

4.5

Step-by-step explanation:

Find the amount of miles in 1 hour. 18/3=6

Now multiply 1.5x3=4.5

3/4=75

This is how i got 4.5 miles

x²+x+7=0
O a
The discriminant is -29.
Because the discriminant is less than 0, the two roots are complex.
The discriminant is 1.
Because the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.
Oc
The discriminant is -27.
Because the discriminant is less than 0, the two roots are complex.
The discriminant is 27.
Because the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.
Ob
Od

Answers

Answer:

See below ~

Step-by-step explanation:

Finding the discriminant

√b² - 4ac√(1)² - 4(1)(7)√-27

⇒ The discriminant is -27.

⇒ Because the discriminant is less than 0, the two roots are complex.

help pls !!!!! will mark brainliest

Answers

Answer

The first option would be your answer.The probability would be 1/16 or 0.0625 or 0.063

Step-by-step explanation:

This table represents a quadratic function with a vertex at (1,2). What is the
average rate of change for the interval from x = 5 to x = 6?
х
у
1
2
2
3
3
6
4
4
11
תס
5
18
O A. 27
OB. 9
O C. 18
O D. 3

Answers

Answer:

9 -- B

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

The average rate of change for the interval from x = 5 to x = 6 is - 22.

What is quadratic function?

A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.

Since, the quadratic function has a vertex at (1, 2),

Hence, the equation for the function can be written in vertex form as:

⇒ y = a(x - 1)² + 2

Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola.

Let's use the point (2, 1):

1 = a(2 - 1)² + 3

1 = a + 3

a = - 2

So, the equation for the quadratic function is:

y = -2x² + 2

Now we can use this equation to find the average rate of change between x = 5 and x = 6. The value of the function at x = 5 is:

y = - 2 x 25 + 2 = - 48

The value of the function at x = 6 is:

y = -2 x 36 + 2 = - 70

The average rate of change between x = 5 and x = 6 is:

(y₂ - y₁) / (x₂ - x₁) = (- 70 - (-48)) / (6 - 1) = - 22

Therefore, the average rate of change for the interval from x = 5 to x = 6 is - 22

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area of a regular polygon with a radius of 4

Answers

A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothe

Given the figure below, find the value of x and z.

Answers

Answer:

x=10, z=106

Step-by-step explanation:

vertical angles: 10x-26=74

10x=100

x=10

supplementary angles: 74+z=180

z=106

x=10
z=106
EXPLAINED:
To get x you would need to set the equation like this (10x-26)=74 (since 74 and the equation with the variable are parallel), then solve normally for x.

To get z you would have to know that the straight line through it equals 180 degrees so you would simply subtract 74 for 180 and there you have it you have the value of z.

Hope this helps!!

Find (f•g) (x) if f(x)=3x^2 and g(x)=5-x

Answers

Answer:

f(g(x))=3x^2-30x+75

Step-by-step explanation:

We want to find the value of f(x) when x is equal to g(x)

So we can substitute the value of g(x) into the f(x) equation

f(g(x))= 3(5-x)^2

f(g(x))= 3(25-10x+x^2)

f(g(x))=3x^2-30x+75

Completely simplified version: 3(x-5)^2

Learn with an example
A car rental agency has 4 vehicles available, of which 2 are coupes.
What is the probability that a randomly selected vehicle will be a coupe?
Simplify your answer and write it as a fraction or whole number.
P(coupe)
=
Submit

Answers

Answer:

50% or 1/2

Step-by-step explanation:

There are four cars total and of which two are coupes, so the fraction would be 2/4 and simplified would be 1/2.

A series contains 18 numbers and has a sum of 4,185. the last number of the series is 275. what is the first number? 42.5 190.0 465.0 740.0

Answers

The first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

Sequence and series

Series are sum of sequences

The formula for calculating the last term of a sequence is expressed as:

Sn = n/2(a+l)

Given the following

Sn = 4185

n = 18

l = 275

Required

first term "a"

Substitute

4185 = 18/2(a + 275)

4185 = 9(a + 275)

465 = a+ 275
a = 465 - 275
a = 190

Hence the first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

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Look at the image below.
11
10
6
Find the area of the parallelogram,
square units

Answers

Answer:

60

Step-by-step explanation:

im so smart. its on khan academy.

Which constant term would mean that the expression is completely factored? x2 – 3x

Answers

factor x2−3x−10x2−3x−10=(x+2)(x−5) Answer: (x+2)(x−5)

have a nice day !!!

Answer:

answer is 10

Step-by-step explanation:

What’s the highest common factor of 36 and 45?

Answers

Answer:

9

Let's view the list of factors 36 and 45 have, starting with 36

1, 2, 3, 4, 6, 9, 12, 18, 361, 3, 5, 9, 15, 45

4 × 9 = 36

5 × 9 = 45

That said, the greatest common factor of 36 and 45 is 9

1. Which of the following shows the value of (4.3 x 10-7)(1.5 x 10-3) in scientific notation? a. 6.45 x 10-10 b. 64.5 x 10-9 C. 0.645 x 10-11 d. 645 x 10-8​

Answers

The product of the expression in scientific notation is expressed as 6.45 * 10^-9

Scientific notations

The standard scientific notation is expressed as:

A * 10^n

A is any value between 1 and 10

n is any integer

Given the product

(4.3 x 10-7)(1.5 x 10-3)

= (4.3 * 1.5)(10^-7 * 10^-3)
= 64.5 * 10^-10
= 6.45 * 10^-9

Hence the product of the expression in scientific notation is expressed as 6.45 * 10^-9

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Fatima is solving the equation 3x² - 6x +2=0 with the quadratic formula.
Which values could she use for a, b, and c?
O a = 3, b = -6, c = 2
O a = 3, b = -6, c = -2
O a = -3, b = 6, c = -2
O a = 3, b = 6, c = 2

Answers

Answer:

[tex]a=3,~ b = -6,~ c=2[/tex]

Step-by-step explanation:

[tex]\text{Compare}~ 3x^2 -6x +2 =0 ~\text{with the standard form of quadratic equation,}\\\\ax^2 +bx +c =0[/tex]

now look at the converse of the proceeding theoreman proof who we begin with the given that two lines of parallel instead of the given of the sum of the interior angles formed is 180° in the next diagram LM while AB and BC a transversials

Answers

Step-by-step explanation answer:

ABC Must be 180 degrees because we have formed a Triangle. Using the Triangle Angle Sum therom all angles within the triangle must add up to a 180 degrees hence 180s is needed for the triangle

The number of stamps in a stamp collection can be modeled by the function y = 2x² + 13x + 45, where is the number of years since the collection was started and y is the number of stamps. After how many years did the stamp collection have 195 stamps?​

Answers

Answer:

X=8 years, option F

Step-by-step explanation:

Answer

6 years

Step-by-step explanation:

The answer is 6 years

Please help! Will mark brainlyest. :)

Answers

Answer:

48

Step-by-step explanation:

base times hight times times 1/2

24X4X1/2

Answer: choice 4: 48

Step-by-step explanation:

to get the area of a triangle, you multiply the width times the height divided in half. So you get:

1. 24*4= 96

2. 96/2= 48

[tex]\sf what's\: the \:answer\:?[/tex]
[tex]4x+3(x-1)=67[/tex]

Answers

Answer:

x = 10

Explanation:

4(x) + 3(x-1) = 67

apply distributive method

4(x) + 3(x) -3(1) = 67

simplify

7(x) - 3 = 67

change side

7(x) = 67 + 3

simplify

7(x) = 70

divide both sides by 7

x = 10

Find the measure of <1

Please answer ASAP will give brainliest

Answers

Answer: 70 degrees

Step-by-step explanation:

The measure of the angle created by a tangent and a chord is half the measure of the arc.

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