40x + 44 = 38x + 44
​

Heather's account balance will be approximately $1,340.55 after 7 years if the interest is compounded 6 times each year.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the account balance after a certain amount of time

P is the principal or initial amount invested

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time period in years

Given tha data in the question;

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year.

Substituting these values into the formula solve for accrued amount, we get:

A = P(1 + r/n)^(nt)

A = 1,050(1 + 0.035/6)^(6 × 7)

A = 1,050(1 + 0.005833333333333)⁴²

A = 1,050(1.005833333333333333)⁴²

A = $1,340.55

Therefore, the accrued amount is $1,340.55.

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Answer:

I think the answer is 16 cupcakes are not vanilla

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

First is you divide 24 by 6 then you get 4 so 1/6 is equal to 4 cupcakes. That means 2/6 is 8 cupcakes. Last you do 24-8 and you get 16.

Answer:

Step-by-step explanation

1= 12

.8 of 1 = 48

so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour

Answer:

-3

Step-by-step explanation:

-9t-4=23

-9t=27

t=-3

Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

what is inequality ?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."

So, the inequality would be:

Temperature < 8 degrees Fahrenheit

Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

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Answer:

1601000000

Step-by-step explanation:

You do the parentheses first.

10 to the 6th power is 1000000. Then, multiply that nuber by 2 to get 2000000.

Then, multiply 2000000 by 800.5 to get

1601000000

Answer: 9" x 10" x 11" = 990 cubic inches.

990 cubic inches / 5 minutes = 198 cubic inches per minute

22" x 23" x 33" = 16698 cubic inches

16698/198 = 84 and 1/3 minutes

1 hour 24 minutes and 20 seconds

Answer:

1162

Step-by-step explanation:

Hope this helps!!!!!

Answer:

La respuesta es  1162

Step-by-step explanation:

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

Solution:

Given the function f(x) expressed as

For horizontal tangent, we have

Thus, we have

solving for x using quadratic formula, we have

Hence, the solution are values of x that satisfy f'(x) = 0. That is, solve the equation

x=

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

We have,

In a parallelogram,

- Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths.

- Opposite angles are congruent:

The opposite angles of a parallelogram have equal

Now,

a)

Opposite angles are congruent:

So,

5x + 29 = 7x - 11

29 + 11 = 7x - 5x

40 = 2x

2x = 40

x = 40/2

x = 20

And,

3y + 15 = 5y - 9

15 + 9 = 5y - 3y

24 = 2y

y = 24/2

y = 12

b)

Opposite sides are congruent:

So,

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = -3

And,

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 2

Thus,

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

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Answer:

x > -3

Step-by-step explanation:

4 - 4x < 16

- 4x < 16 - 4

- 4x < 12 (note that both can be divided by -4)

x > -3

That's the final answer.

AND if you're co fused about why the sign changed, you should always remember this

By negative num I mean any number that starts with a minus for example -2, -3, -5, -100

Answer:

24.

Step-by-step explanation:

With composition of functions (as with the order of operations) we perform what is inside of the parentheses first. So, g(3)=2(3)+2=8 and then f(8)=24.

Answer: your answer for that equation would be G = y/x

Step-by-step explanation:

Answer:

The Greatest Common Factor (GCF) of 30x² and 24x is 6x.

Step-by-step explanation:

Hence, the greatest common factor is \(6x\).

the greatest common factor or greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

How To Solve?

The Prime Factorization of \(30x^2\) and \(24x\) respectively is :

\(30x^2=2*3*5*x*x\)     ....................(1)

\(24x=2*2*2*3*x\)      .....................(2)

Common factors in (1) and (2) are

\(2*3*x\)\(=6x\)

Hence , the greatest common factor of \(30x^2\) and \(24x\) is \(6x\).

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Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

By algebra properties and trigonometric formulas, the trigonometric expression (a · cos A + b · sin A)² + (a · sin A - b · cos A)² is equivalent to the algebraic expression a² + b².

In this problem we must prove that the trigonometric expression (a · cos A + b · sin A)² + (a · sin A - b · cos A)² is equivalent to the algebraic expression a² + b², this can be done both by algebra properties and trigonometric formulas. First, write the given expression:

(a · cos A + b · sin A)² + (a · sin A - b · cos A)²

Second, expand the expression by algebra properties:

a² · cos² A + 2 · a · b · cos A · sin A + b² · sin² A + a² · sin² A - 2 · a · b · cos A · sin A + b² · cos² A

(a² + b²) · cos² A + (2 · a · b - 2 · a · b) · cos A · sin A + (a² + b²) · sin² A

(a² + b²) · (cos² A + sin² A)

Third, use the fundamental trigonometric formula:

a² + b²

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Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

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Answer:

Step-by-step explanation:

V=IR

V=1/3×1701=567

567=IR

567=9261 I

I=567/9161

Answer:

corresponding

Explanation:

From the diagram shown, on line m;

m<7 = m<6 (vertically opposite angle)

Also since m<2 = m<6 (corresponding angle), hence;

<2 = <7 (corresponding angle)

Hence angles 2 and 7 are congruent since they are corresponding angles

QUESTION :-

ANSWER :-

Take Lcm by the denominator ( check the pic )

Now subtract this

\( \frac{23}{15} \)

=================================================

\( \large\rightarrow \tt 1 \frac{8}{15}\)

=================================================

To solve the problem, let's find the LCM or Latest Common Multiple.

\(\tt5 \underline{ | \tt5, \: 3} \\ \tt3 \underline{ \tt |1, \: 3} \\ \: \: \: \: \tt1, \: 1\)

\( \rightarrow \) LCM = 5 x 3 = 15

\( \\ \)

Since the LCM is already finished let's solve for the both numerator and denominator.

\(\rightarrow \: \tt3 \frac{1 \times 3}{5 \times 3} = 3 \frac{3}{15} \\ \\ \rightarrow \: \tt1 \frac{2 \times 5}{3 \times 5} = 1 \frac{10}{15} \)

Since both of the fractions cannot be subtracted from each other, then let's make it to a improper fraction.

\( \rightarrow \: \tt3 \frac{3}{15} = 3 \times 15 + 3 = \frac{48}{15} \\ \\ \rightarrow \: \tt1 \frac{10}{15} = 1 \times 15 + 10 = \frac{25}{15} \)

Now its time to subtract.

\(\rightarrow \: \tt \frac{48}{15} - \frac{25}{15} = \frac{23}{15} \: \: or \: \: 1 \frac{8}{15} \)

Therefore, the answer is 1 8/15.

=================================================

\( \underline{{\sf \: \: \#CarryOnLearning! \: \:}} \)

Answer:

(x+17)°=25° <---Smallest Angle

(7x-16)°=40°

115°=115°

Step-by-step explanation:

Because the angles in a triangle add up to 180°, 115°+(x+17)°+(7x-16)°=180°

Now we can solve algebraically.

115°+(x+17)°+(7x-16)°=180°

115+x+17+7x-16=180

Rearrange:

115+17-16+7x+x=180

Solve:

115+1+8x=180

116+8x=180

8x=180-116

8x=64

x=8

Now we can fill x in to find the measure of the angles.

(x+17)°

(8+17)°

=25°

(7x-16)°

56-16

=40°

Check:

40+25+115

65+115

5+175

=180°, so our angles add up.

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Answer:

\(y = -\frac{5}{2}x +30\)

Situation: You start out with $30 and spend $2.50 every day on a soda.

Step-by-step explanation:

The equation of a line is y = mx + b

b = y-intercept

m = slope, rise/run

The line crosses the y axis at 30, so b is 30

Now for the slope, rise/run.

Start at 30 on the y-axis and go down to 25, that is a rise of -5. Now you are at (0, 25) on x-axis. Move right to the point (2, 25). The run is 2.

m = -5/2

The equation of the line is y = -5/2x + 30

9514 1404 393

Answer:

  e = 25.7 m

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  \(e^2=d^2+f^2-2df(\cos{E})\\\\e^2=11.9^2+18.5^2-2(11.9)(18.5)\cos{114^\circ}\approx 662.946\\\\e\approx\sqrt{662.946}\approx25.74774\\\\\boxed{e\approx25.7\text{ m}}\)

Answer:

Step-by-step explanation:

Answer:

y-intercept(0, -9)

Step-by-step explanation:

Solution:

Note that:

Applying the distributive property, this is equivalent to:

now, putting the like terms together we obtain:

this is equivalent to:

solving for x, we get:

so that, we can conclude that the correct answer is:

The cost price of the article, which is sold for Rs. 150 at a gain but if sold for Rs. 135 would have resulted in a loss equal to 50% of the original gain, is Rs. 127.50.

The cost price is the difference between the selling price and the profit or gain.

The difference is determined by subtraction.

Selling price of the article = Rs. 150

Loss if sold at Rs. 135 = 50% of the original gain

Original gain = Rs. 15 (Rs. 150 - Rs. 135)

50% of the original gain = Rs. 7.50 (Rs. 15 x 50%)

Cost price of the article = Rs. 127.50 (Rs. 135 - Rs. 7.50)

Thus, the cost price is Rs. 127.50.

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Answer:

y = csc(x) does not have any zero.

Step-by-step explanation:

If we have:

y = f(x)

a zero of that function would be a value x' such that:

y = f(x') = 0

Here we basically want to solve:

y = csc(x) = 0

First, remember that:

csc(x) = 1/sin(x)

now, the values of sin(x) range from -1 to 1.

So we want to solve:

1/sin(x) = 0

notice that a fraction:

a/b = 0

only if a = 0.

Then is easy to see that for our equation:

1/sin(x) = 0

The numerator is different than zero, then the equation never will be equal to zero.

Then:

y = csc(x) = 1/sin(x)

Does not have a zero.

Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P