How do I solve this problem?

The amount in the account after 60 years is $719.

His saving has not tripled after 60 years.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

We have,

Principal = $395

Rate = 1%

Number of years = 60

The amount compounded quarterly is given by:

A = P [ 1 + (R/4)/100 [tex]]^{4n}[/tex]

P = principal

R = rate

n = number of years

A = 395 [ 1 + 1/400 [tex]]^{4 \times{60}}[/tex]

A = 395 [ 1 + 1/400 [tex]]^{240}[/tex]

A = 395 [ 1 + 0.0025 [tex]]^{240}[/tex]

A = 395 [ 1.0025 [tex]]^{240}[/tex]

A = 395 x 1.8207549953165

A = 719.19625

A = $719

Thus the amount in the account after 60 years is $719.

His saving has not tripled after 60 years.

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Answer:

Step-by-step explanation:

Step 1: Define

Point (2, 8)

Point (-6, -8)

Substitute in points [SF]:    m= -8-8/-6-2            

[Fraction] Subtract:    m=-16/-8                          

[Fraction] Divide:        m=2

The slope of the line joining points (2, 8) and (-6, -8) is 2.

A straight line is a line plotted on the Cartesian plane. The line is generally written in the form y = mx + c, where m is the slope and c is the intercept of the straight line. The slope of the line can be obtained by using many formulae but if two points are given then the following formula is used:

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex].

The given points are (2, 8) and (-6, -8).

So, [tex]x_1 = 2, y_1 = 8, x_2 = -6,[/tex] and [tex]y_2 = -8[/tex].

The formula to find the slope of the straight line is

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

   [tex]= \dfrac{-8-8}{-6-2} \\= \dfrac{-16}{-8}\\= \dfrac{16}{8}\\= 2[/tex]

Therefore, the slope of the given line is 2.

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The complete question is as follows:

Use the formula m = [tex]\dfrac{y_2 - y_1}{x_2 - x_1}[/tex] to find the slope of the line joining points (2, 8) and (-6, -8).

Answer:

  (b)  8 cm

Step-by-step explanation:

You want to know the length of segment LN with midpoint M and the length of LM given as 4 cm.

The segment addition theorem tells you the length of a line segment is equal to the sum of the lengths of its parts.

  LN = LM +MN

The hash marks on segments LM and MN mean those segments have the same length. Then the sum is ...

  LN = (4 cm) +(4 cm) = 8 cm

The length of segment LN is 8 cm.

According to the given statement

Combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is (7x+2268)

Total Profit is the sum of the following amounts (before taxes): I the amount received by Grantee pursuant to Issuer's repurchase of the Option (or any portion thereof) pursuant to Section 7; (x) the amount received by Grantee pursuant to Issuer's repurchase of Option Shares pursuant to Section 7 less (y) the Grantee's purchase price for such Option Shares; and (x) the net cash amounts received by Grantee pursuant.

According to the given value;

Number of Number of MP3 = X

Number of Number of DVD,= (126-x)

so

Profit from MP3 = 35 x

Profit from DVD = 18 (126-x)

Total = 35X+18 (126-x)

= 35x +2268-18x

= (7x+2268)

Hence,Combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is (7x+2268).

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Because the remainder is 0, then the binomial x + 3 is a factor of the polynomial (-3)^2 + 5(-3) + 6

A division problem is an expression or an equation that involves the quotients of numbers or polynomials

To create the division problem, we make use of the following expression

(x^2 + 5x + 6)/(x + 3)

Using the remainder theorem, we have

Dividend = x^2 + 5x + 6

Divisor = x + 3

Set the divisor to 0,

So, we have

x + 3 = 0

This gives

x = -3

Substitute x = -3 in the dividend to get the remainder

So, we have

Remainder = (-3)^2 + 5(-3) + 6

Evaluate

Remainder = 0

Because the remainder is 0, then the binomial x + 3 is a factor of the polynomial (-3)^2 + 5(-3) + 6

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Step-by-step explanation:

we have 2 points on the line :

(15, 64) and (26, 112)

the standard form I assume is the slope-intercept form :

y = ax + b

"a" being the slope, "b" being the y-intercept (the y value when x = 0).

the slope is the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another.

the direction does not matter, but when picking one for one coordinate difference calculation, we have to use the same direction for the other.

I prefer to go from left to right.

so, in our case here

x changes by +11 (from 15 to 26).

y changes by +48 (from 64 to 112).

the slope "a" is +48/+11 = 48/11

so, our equation looks already like this :

y = 48/11 x + b

now, we use any of our points to get b.

let's pick (15, 64) :

64 = 48/11 × 15 + b = 720/11 + b

704/11 = 720/11 + b

-16/11 = b

and our full equation is

y = 48/11 x - 16/11

or

y = 1/11 × (48x - 16/11)

or

y = 16/11 × (3x - 1)

Answer: 9 oranges

Step-by-step explanation:1.04/4=0.26

1 orange =0.26

2.34/0.26=9 oranges

Answer:

$2.86

Step-by-step explanation:

1.04 divided by 4 is 0.26 per orange. So 0.26 times 11 is 2.86

Please give brainliest

Answer:

It's A, 6.86 × 10⁴

Step-by-step explanation:

In scientific notation, you have the base, and the 10. The 10 is represented next to an exponent, whereas the base is a whole number and a decimal. If the decimal is moved right, the exponent following the 10 becomes negative. Left, it becomes positive. In this instance, the decimal is being moved left, thus the exponent is positive.

Answer:

A

Step-by-step explanation:

All my work is provided in the attached Screenshot! :)

Answer: 10$

Step-by-step explanation: 15 divided by 3 is 5. 5 times 2 is 10. Therefore, the answer is 10 $

2 lines that are parallel are (D) J and L.

So, plot all 4 lines on the graph (refer to the graph attached below).

Therefore, 2 lines that are parallel are (D) J and L.

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The domain for this relation is {1,3} and the range for this relation is {2}.

According to the question, the given domain and range of the relation is as follows:

The domain for this relation is : {0, 1, 3}

The range for this relation is : {-2, 1, 2}

As per definition, the domain is the set of all possible values which a function take as an input.

Therefore, the domain for this relation is : {1, 3}

And the range for this relation is: {2}

Hence, the domain for this relation is {1,3} and the range for this relation is {2}.

What is domain and range of a function?

The domain is the set of all the possible values which a function can take as an input. And the range is also the set of paired values which represent the output of a function.

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Answer:

0.11578947368 mil/min

Step-by-step explanation:

11/95=0.11578947368

Answer:

8.6 miles

Step-by-step explanation:

95 mins divided by 11 miles= amount of minutes per mile

The range could be written in inequality form will be:

-2500 ≤ x ≤ -100.

Living in the deep sea are slitsnails. It is assumed that they inhabit depths ranging from 100 to 2500 feet.

Let x represents the distance between the water and the surface.

The depth will decrease as we sink further into the water.

Therefore, the depth could range from 100 to 2500 feet.

The maximum depth is 2500 feet, and the lowest depth should be 100 feet.

So, the range could be expressed as follows in inequality form:

-2500 ≤ x ≤ -100.

Hence the required compound inequality is framed.

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Answer:

Approximately [tex]36^{\circ}[/tex], assuming that the tree is upright.

Step-by-step explanation:

Refer to the diagram attached. The upright tree and its shadow are in a right triangle. In this right triangle, the angle of elevation of the sun would be the angle adjacent to the shadow of this tree. At the same time, this angle would be opposite to the side representing the tree. Thus, the tangent of this angle could be represented as:

[tex]\begin{aligned}\tan(\text{angle of elevation}) &= \frac{\text{opposite}}{\text{adjacent}} \\ &= \frac{10\; \text{yard}}{14\; \text{yard}} \\ &= \frac{5}{7}\end{aligned}[/tex].

Take the arctangent of this value to find the measure of this angle:

[tex]\begin{aligned} (\text{angle of elevation}) &= \arctan(\tan(\text{angle of elevation})) \\ &= \arctan\left(\frac{5}{7}\right) \\ &\approx 0.620 \times \frac{360^{\circ}}{2\, \pi} \\ &\approx 36^{\circ}\end{aligned}[/tex].

Thus, the angle of elevation of the sun at this moment would be approximately [tex]36^{\circ}[/tex].

Answer: right

Step-by-step explanation:

Using the z-distribution, the limits of the 95% confidence interval are given as follows:

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

For this problem, the parameters are given as follows:

[tex]n = 200, \pi = \frac{152}{200} = 0.76[/tex]

Then the bounds are given as follows:

Which are the lower and upper limits, respectively.

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Answer:

IV i think

Step-by-step explanation:

Step-by-step explanation:

at the beginning it is in quadrant III.

that means in the bottom left quadrant (where all x and all y are negative).

the reflection over the x-axis brings it up into quadrant II (upper left quadrant).

the line y = x is the line that goes like a 45° diagonal from the bottom left to the top right.

when reflecting our figure over this line, it brings it from quadrant II into quadrant IV (the bottom right quadrant).

and now, a 90° clockwise rotation moves it by one quadrant in clockwise direction. that brings it back into quadrant III.

Answer:

Subtract 7 (from both sides)

Step-by-step explanation:

The goal is to get x by itself.  The first step in this equation to accomplish that would be to get the term having the variable on one side and the constant(s) on the other.

Answer:

Carrier B

Step-by-step explanation:

The linear equation that represents Carrier B is y=55x+300. it's a linear equation so 55 represent the monthly fee and 300 represents the initial fee. So the initial fee of carrier B is 300. In case of Carrier A, the total cost increases by $150 as months increases by 3. So The initial fee of Carrier A is 500-150=$350 . Hence, Carrier B has lower initial fee.

The value of the ERA is the 3.75.

According to the statement

We have to find that the value of the ERA.

So, For this purpose, we know that the

ERA is the number which represents the average number of earned runs given up by the pitcher per nine innings.

From the given information:

First, we are given the formula E * i = 9 * r.

Second, we are asked to resolve for E. If i doesn't equal zero, then we are able to divide both side of this equation by i. (Note that i = the quantity of innings pitched, which isn't zero.) We then have the equation E = (9 * r) / i.

Third, we are given some numerical values for our variables, and asked to use this equation to unravel for E.

Substituting r = 15 (earned runs allowed) and that i = 36 (innings pitched) into the equation and that we have

E = (9 * 15) / 36 = 3.75  (rounded to the closest hundredth)

So, The value of the ERA is the 3.75.

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Answer:

$94.10

Step-by-step explanation:

$76.10 + $18.00 = $94.10

The probability that X is more than 3 i.e. P(x > 3) is 0.945

The given parameters are

The probability that X is more than 3 can be calculated using the following equation

P(x <= 3) + P(x > 3) = 1

So, we have

P(x > 3) = 1 - P(x <= 3)

This gives

P(x > 3) = 1 - P(0) - P(1) - P(2) - P(3)

The individual probabilities are calculated using

P(x) = C(n,x) * p*x * (1 -p)^(n-x)

So, we have

P(0) = C(10,0) * 0.6^0 * (1 -0.6)^(10 - 0) = 0.0001

P(1) = C(10,1) * 0.6^1 * (1 -0.6)^(10 - 1) = 0.00157

P(2) = C(10,2) * 0.6^2 * (1 -0.6)^(10 - 2) = 0.01062

P(3) = C(10,3) * 0.6^3 * (1 -0.6)^(10 - 3) = 0.04247

So, we have

P(x > 3) = 1 - 0.0001 - 0.00157 - 0.01062 - 0.04247

Evaluate

P(x > 3) = 0.945

Hence, the probability that X is more than 3 is 0.945

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hi

f(x) = -5x – 3,

then f(-6) =  -5 (-6) -3

               =   -11 -3

               = -14

The relation that is a function is relation (b)

The ordered pairs in the option represent the given parameters

For a relation (i.e. the ordered pairs) to be a function, the following must be true:

Each y value on the ordered pair must have exactly one x value

i.e. no x value must point to the different y value

Having said that the relation that is a function is relation (b)

Hence, the the relation that is a function is relation (b)2

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The set (A∩C)' is {1, 3, 5, 6, 7}.

Simply said, a set in mathematics is a grouping of different items. Any group of objects, such as a collection of numbers, days of the week, different kinds of cars, etc., can be included in a set. An element of the set is any component of the set. When writing a set, curly brackets are utilized. An extremely basic set might look somewhat like this. Set A = {1,2,3,4,5}. The components of a set can be represented using a variety of notations. Typically, sets are represented by a set builder form or a roster form.

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Answer:

13

Step-by-step explanation:

salu grt it

The net income of Adventure Travel using its  Adjusted Trial Balance for Year Ended December 31, 20XX, is $14,640

What is net income?

The net income is the excess of fees earned by Adventure Travel  in the year ended  over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense

total expense=32,800+16,800++3960+4000+2800

total expenses=60,360

fees earned=75,000

net income =fees earned-total expenses

net income=75,000-60,360

net income=$14,640

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