If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?

Step-by-step explanation:

let's look at the full numbers under the square roots when bringing the external factors back in :

sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)

and let's present these numbers as the product of their basic prime factors

sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)

now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.

let's combine these

sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)

and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :

9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =

= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)

and that is the first answer option.

[tex]( \sqrt{5} + 1 {)}^{2} \\ calculate \\ \\ 5 + 2 \sqrt{5} + 1 \ \\ \\ = 6 + 2 \sqrt{5} \\ \\ in \: \: alternate \: \: form \: \\ \\ 10.47214 \\ \\ hope \: it \: \: helps \\ \\ [/tex]

Step-by-step explanation:

Here is your answer . The logic I have shared above to solve this equation

Answer: x+8

Step-by-step explanation:

Differentiate both sides with respect to x, using the chain rule for the sine term:

[tex]\cos(x) + \sin(y) = 1[/tex]

[tex]\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for dy/dx :

[tex]-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}[/tex]

The graph of the equations was plotted using geogebra graphing and attached.

Let x represent the hours weightlifting and y represent the hours doing cardio exercises.

Since he spend a maximum of 20 hours, hence:

x + y ≤ 20   (1)

Also, he spends at least 8 of those hours weightlifting, hence:

x ≥ 8          (2)

He wants to spend no more than 15 hours doing cardio exercises, this is:

y ≤ 15     (3)

The graph of the equations was plotted using geogebra graphing and attached.

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Answer:

10

Step-by-step explanation:

20/2=10 smores

Answer:

Step-by-step explanation:

G(fx)= 2x+4÷5×6x+2

G(fx)= 2x+0.8×6x+2

G(fx)= 2x×6x+0.8+2

G(fx)= 12x+2.8

The amount of interest paid per year is $2400

What is Interest rate?

An interest rate is the percentage a lender charges on the amount of money borrowed from them.

Given that, Brendon Walsh wants to borrow the sum of $40,000 from the bank

Interest rate is 6%

Time is 5 years

Therefore, the yearly payment amount can be calculated as follows

= 40,000 × 5 × 6/100

= 40,000 × 5 × 0.06

= 12000/5

= $2,400

Hence, the yearly payment is $2,400

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#SPJ5

Answer:

180 out of 300

Step-by-step explanation:

Basically,

300÷120=2.5

Thereof,

72×2.5=180.

Hope this helps!

tag brainliest please...

Answer:

-25÷-5= 5 The quotent is positive.

Step-by-step explanation:

positive+positive=positive

negative+negative= positive

positive+negative=negative

negative+positive=negative

Answer:

The associative property

Step-by-step explanation:

:/ wait its u again lol

Answer:

1

Step-by-step explanation:

4x-20=3x+7

x=27

Answer:

of(x) = (x-7)(x-5)(x - 5)(x + 2)

Step-by-step explanation:

Answer:

1. 4x=36

2. x+3 = 15

Step-by-step explanation:

so for 1 if one cupcake is $4.00 that means multiplying it by x gets you $36.00

and the 4 next to the x means multiplyand x is sam and 15 is marco sam is 3 years younger so x+3=15 and x being 12 <3 hope this helps

Step-by-step explanation:

8) 125=x+90° (exterior angle= sum of two opposite interior angle)

x= 35°

9) y=80° ( vertically opposite angle)

x= 180-50-80= 50°.

hope this helps you.

Answer:

i think it is a or c

Step-by-step explanation:

Answer:

X would also be 59° due to the Corresponding property.

Answer:

The answer is 350. The expression after the distributive property is 140 + 210.

Step-by-step explanation:

-35( -4 + (-6))

Distributive property is

ex.

a( b +/- c) = ab + ac

So,

-35( -4 + (-6))

= 140 + 210     (a negative times a negative is a positive ( - ) x ( - ) = ( + )

= 350

The answer is x = 12

Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4

Given : 4 Shrimps cleaned every minute.

So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T

The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.

Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.

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Answer:

[tex]\frac{b}{19}[/tex]

Step-by-step explanation:

If you cross-multiply in the first proportion you get 19a = 5b

To keep this, if we have a/5, we need b/19 to cross-multiply and still get 19a = 5b

Answer:

Step-by-step explanation:

y = 3x - 1

whatever is in front of the x is the slope. It has to be a number of some kind. I don't think complex numbers count, but don't quote me on that.

The y intercept is the number on the right that is not associated with x. In this case it is - 1.

Answer:

0, 1, and 2

This is the answer

Answer:

157.89

Step-by-step explanation:

Answer:

m = − 1/2

Step-by-step explanation:

Use the formula to calculate the slope of the line passing through the points.

slope = (y₂ - y₁) / (x₂ - x₁)

Input the values into the formula.

Subtract the values in parentheses.

Simplify the fraction to get the slope.

Answer: y = -1/2x +2