helppp pleaseee!!!!!!!!!!!!

Answer:

the amount of money Ian invested is P =  £2,500

Step-by-step explanation:

The standard formula for compound interest is given as;

[tex]A = P(1+r/n)^{nt} \\P = \frac{A}{(1+r/n)^{nt}} ...........1\\[/tex]

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

n = number of times compounded yearly.

t = time of investment in years

For this case, Given that;

A = £2652.25

t = 2 years

n = 1 (semiannually)

r = 3% = 0.03

substituting the given values into equation 1;

[tex]P = \frac{A}{(1+r/n)^{nt}} ...........1\\P = \frac{2652.25}{(1+0.03)^{2}} \\P = \frac{2652.25}{(1.03)^{2}} \\[/tex]

P =  £2,500

the amount of money Ian invested is P =  £2,500

Answer:

51.339

Step-by-step explanation:

Hello,

At the beginning Holly has $500

After one year

   he will get 500*(1+6.75%)=500*1.0675

After n year (n being real)

   he will get

   [tex]500\cdot1.0675^n[/tex]

and we are looking for n so that

   [tex]500\cdot1.0675^n=14,300\\<=> ln (500\cdot1.0675^n)=ln(14,300)\\<=>ln(500)+n\cdot ln(1.0675)=ln(14,300)\\<=> n= \dfrac{ln(14,300)-ln(500)}{ln(1.0675)}=51.338550...\\[/tex]

so we need 51.339 years

Hope this helps

Answer:

Step-by-step explanation:

You can let c, b, s represent the investments in CDs, bonds, and stocks, respectively.

  c + b + s = 170000 . . . . . . total invested

  0.0325c +0.038b +0.067s = 7745 . . . . . . . annual income

  -c + b = 60000

You can solve this set of equations using any of a number of methods, including on-line calculators, graphing calculators, scientific calculators, Cramer's Rule, substitution, elimination, and more. The solution is ...

  c = 30,000

  b = 90,000

  s = 50,000

Maricopa's Success invested $30,000 in CDs, $90,000 in bonds, and $50,000 in stocks.

Answer:

Step-by-step explanation:

You have the following function:

[tex]f(x)=-3x+7[/tex]

The y-intercept of the function is given by the independent coefficient, which is 7.

y-intercept = 7

To obtain the x-intercept you equal the function to zero and solve for x, as follow:

[tex]0=-3x+7\\\\3x=7\\\\x=\frac{7}{3}\approx2.33[/tex]

x-intercept = 2.33

Due to the coefficient of x is negative, the slope of the function is negative.

The function is a straight line, then, its domain all all real numbers and its range are all real numbers.

The graph of the function is attached in the image below.

Answer: Sample mean [tex](\overline{x})[/tex]

Step-by-step explanation:

Given: A study was conducted to determine the average birth weight (in ounces) of babies born in hospitals in a five county area of a given state.

i.e. The parameter of the study is [tex]\mu[/tex] . (Population mean).

A Simple Random Sample of Recent birth records at the local hospitals were selected and the confidence interval was calculated to be (117.89 ounces, 124.91), at a 95% level of confidence.

Since a measure of sample is a statistic , and this case statistic is sample mean denoted by [tex]\overline{x}[/tex].

Hence, the statistic is appropriate for this confidences interval : [tex]\overline{x}[/tex]

Answer:

y = -1/2x - 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Determine known variables

Slope = -1/2 (m = -1/2)

y-intercept - (0, -3), so b = -3

Step 2: Write in known variables

y = -1/2x - 3

Answer:

y = -1/2 - 3

Step-by-step explanation:

Well slope intercept is y = ax + b

ax is the slope which is given,

b is the y intercept which is -3 because the point (0,-3)

doesn’t have a x coordinate meaning if the line goes through that point it touches the y intercept at -3.

Thus,

the equation in slope-intercept is y = -1/2 - 3.

Hope this helps :)

Answer:

Dang shes rich, but what is the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Easy way to solve

5^4 = 625.

5^12=244140625.

Thus, 625m=244140625.

Divide both sides by 625/

m=390625, or 5^8.

Better way to solve

When dividing by exponents [tex]x^{4}/x^{2} =x^{4-2}=x^2[/tex]

Thus, simply do 12-4=8 to know that m=5^8.

Hope it helps <3

Answer:

Step-by-step explanation:

(5⁴)m = 5¹²

Divide both sides by 5⁴

((5⁴)m)/5⁴ = 5¹²/5⁴

m = 5⁸

Answer:

[tex]\boxed{x<20}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} x<10[/tex]

Multiply both sides by 2.

[tex]x<20[/tex]

Answer: 4.8mi

Step-by-step explanation:

From Newton, getting to Bloomington takes 10mi, and getting to Arlington takes 5.2mi.  Thus, simply do 10-5.2 to get 4.8mi.

Hope it helps <3

Answer:

y = 4/3x+2

Step-by-step explanation:

We can use the slope intercept form of the equation

y = mx+b

Where m is the slope and b is the y intercept

y= 4/3 x +b

Substitute the point into the equation

6 = 4/3(3) +b

6 = 4 +b

Subtract 4 from each side

2 = b

y = 4/3x+2

Answer:

Step-by-step explanation:

The line passes through points ( - 1 , 2 ) and ( 3 , 1 )

Let there points be A and B

A ( -1 , 2 ) -----> ( x1 , y1 )

B ( 3 , 1 ) -------> ( x2 , y2 )

Now, Let's find the gradient ( slope)

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

plug the values

[tex] = \frac{1 - 2}{3 - ( - 1)} [/tex]

Calculate the difference

[tex] = \frac{ - 1}{3 - ( - 1)} [/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] = \frac{ - 1}{3 + 1} [/tex]

Add the numbers

[tex] = \frac{ - 1}{4} [/tex]

Use [tex] \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b} [/tex] , to rewrite the fraction

[tex] = - \frac{1}{4} [/tex]

Hope this helps...

Best regards!!

Answer:

C = 150S + 3,500.

$6,050.

Step-by-step explanation:

It costs $3,500 to rent the trucks, so your constant/y-intercept will be $3,500.

It will cost $150 for every ton of sugar, so your slope will be $150.

You then have your equation:

C = 150S + 3,500.

If you were to transport 17 tons of sugar...

C = 150 * 17 + 3,500

C = 2,550 + 3,500

C = $6,050.

Hope this helps!

Answer:

C = $6050

Equation:

To write the equation, we have to remember that C is the total cost, so that means the equation should end in "= C". S is the amount of sugar, so the equation would look something like this:

[tex]3500+150(S)=C[/tex]

3500 is at the beginning since that is the cost for the trucks, and each ton of sugar costs $150, and that would get multiplied by S amount of sugar, to get the total cost, C.

Solving the equation

To solve the equation when S = 17, we simply have to plug in S as 17 into our equation we wrote above.

[tex]3500+150(17)=C[/tex]

150 * 17 is 2550, and 3500 + 2550 is 6050, which is C.

C = $6050

Answer:

(70-55)/4.5=y rounded down to the nearest whole number

Step-by-step explanation:

The first step is to take away the $55 from $70

70-55=15

Simba has $15 to spend on the yoga classes, to find the number of yoga classes she can attend, you divide 15 by the amount a yoga class costs, $4.50

15/4.50=3 1/3

Because she can not have 1/3 of a yoga class, she can attend 3 yoga classes in her budget.

Hope this helps, if you have any questions feel free to ask

Have a good day! :)

Answer:

Increase

Step-by-step explanation:

Precision describes the closeness of estimates from different samples, it refers to the width of the confidence interval and can aso be described as the margin of error. While the confidence level describes the accuracy.

Going for a higher confidence level will bring about a wider confidence interval, and thus lead to a less precise estimate.

Step-by-step explanation:

8.x×8-12=50

8x-12=50

9.1/2x>or=100

10.2 whole number5/9-x=31

Answer:

c

Step-by-step explanation:

im not too sure

Answer:

14.16 miles further.

Step-by-step explanation:

Campbell to Summerfield

9.52mi + 4.62 mi + 10.08 mi = 24.24 mi

Princeton to summerfield

is 10.08 mi

Therefore difference is 24.24mi - 10.08mi = 14.16 mi

Hope this helps.

Answer:

The Hudson Record Store

1. As a fraction, discount rate = $3/$18 = 0.167

2. As a percentage, discount rate = 16.67%

3. Selling price during 2nd week = $13.50

4. The rate of the new selling price to the old is $13.50/$18 = 75%

Step-by-step explanation:

Selling price of CDs = $18

1st Week, sold CDs at $15

Discount = $3 ($18 - $15)

As a fraction, discount rate = $3/$18 = 0.167

As a percentage, discount rate = 16.67%

2nd Week, sold CDs at $13.50 ($18 - (25% of $18))

Discount = $4.50 ($18 - $13.50)

Price during the second week of the sale = $13.50

The rate of discount = $4.50/$18 = 25%

Answer:

Step-by-step explanation:

m= the amount of money the mechanic makes.

h= the amount of money the helper makes.

m=h+5

m+h=114

h+5+h=114

2h+5=114

h=54.50

m=59.5

Helper makes $9 an hour.

Mechanic makes $9.92 an hour.

The earning of helper each earn per hour is 7$ /hr.

To find earning of helper per hour.

science that deals with the addition, subtraction, multiplication, and division of numbers and also the properties and manipulation of numbers.

Given that:

let the cost /per hour of helper be x

and that of the mechanic is x+5

now for 6 hour job total earning is

6(x+x+5) = 114

=> 2x+5 = 19

so, 2x = 14 or x = 7

the earning of helper is = 7$ /hr

and earning of mechanic is = 12$/hr

So, the earning of helper each earn per hour is 7$ /hr.

Learn more about arithmetic here:

https://brainly.com/question/17120168

#SPJ5

Answer:

See below

Step-by-step explanation:

The statement that can be written for 4p = 8 is:

=> Four times a certain number equals eight.

Answer:

B or 24 mm2

Step-by-step explanation:

Just did the test :)

The area of the shaded region is 24mm^2

Step 1: Find area of the larger triangle

Here base b = 5 mm

Height h = 12 mm

Area of the larger triangle = (5*12)/2 = 60/2 = 30mm^2

Step 2: Find area of the smaller triangle

Here base b = 3 mm

Height h = 4 mm

Area of the smaller triangle = (3*4)/2 = 12/2 = 6 mm^2

Step 3: Find area of the required shaded region

Area of the required shaded region = Area of larger triangle - Area of smaller triangle

= 30 mm^2 - 6 mm^2

=24 mm^2

Hence, the area of the shaded region is 24mm^2

Learn more about area of triangle here:

https://brainly.com/question/17335144

#SPJ2

Answer:

[tex]\dfrac{x^2-9}{x-3}= \Large \boxed{x+3}[/tex]

Step-by-step explanation:

Hello,

We need to work a little bit of the expression to see if we can simplify.

Do you remember this formula?

   for any a and b reals, we can write

   [tex]a^2-b^2=(a-b)(a+b)[/tex]

We will apply it.

For any x real number different from 3 (as dividing by 0 is not allowed)

[tex]\dfrac{x^2-9}{x-3}=\dfrac{x^2-3^2}{x-3}=\dfrac{(x-3)(x+3)}{x-3}=x+3[/tex]

So the winner is C !!

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

y= 1/14 sin(x-3π)-5

Answer:

Probability distribution

Step-by-step explanation:

Probability distribution is the function which describes the likelihood of possible values assuming a random variable. Alternative hypothesis is a statement which we accept or reject based on the null hypothesis. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

Answer:

11

Step-by-step explanation:

Answer:

x = 11.

Step-by-step explanation:

9 less than twice a number is the same thing as twice a number minus 9. Let's say that the number is x.

2x - 9 = 13

2x = 22

x = 11

Hope this helps!

Answer:

352.8 ft

Step-by-step explanation:

m∠A = 180° − 102.9° − 18.6° = 58.5°

AB = c and BC = a.

Use law of sines:

c / sin C = a / sin A

c / sin 18.6° = 943 / sin 58.5°

c = 352.8

1

Step-by-step explanation:

p(x≤20)=p(x=-10) +p(x=-5)+p(X=0) +p(x=5) +p(x=10)+ p(X=15)+p(X=20)

This, p(X≤20)=0.20+0.15+0.05+0.1+0.25+0.1+0.15

=1

Answer:

C. [tex]\Rightarrow \bold{8x = 16}[/tex]

Step-by-step explanation:

Given the two equations:

[tex]y=2x ........ (1)\\ 2x+3y=16.......(2)[/tex]

To find:

The correct option when value of y is substituted to 2nd equation using the 1st equation.

Solution:

First of all, let us learn about the substitution method.

Substitution method is the method to provide solutions to two variables when we have two equations and two variables.

In substitution method, we find the value of one variable in terms of the other variable and put this value in the other equation.

Now, the other equation becomes only single variable and then we solve for the variable's value.

Here, we have two equations and value of one varible is:

[tex]y=2x[/tex]

Let us put value of y in 2nd equation:

[tex]2x+3y=16\\\Rightarrow 2x + 3(2x) = 16\\\Rightarrow 2x + 6x = 16\\\Rightarrow \bold{8x=16}[/tex]

So, the correct answer is option C. [tex]\Rightarrow \bold{8x = 16}[/tex]

Answer: 8x=16

Step-by-step explanation:a pex

Answer:

25 and 30

Step-by-step explanation:

Let the smaller consecutive multiples of 5 be x. Therefore, other consecutive multiples will be x + 5.

Now as per statement the sum of two consecutive multiples of 5 is 55. To find the multiples. Thus

x + x + 5 = 55

2x + 5 = 55

2x = 55 - 5

2x = 50

x = 50/2

x = 25

This the smaller consecutive multiples of 5 is 25, the other consecutuve multiple is x+ 5, 25 + 5 = 30.

The consecutive multiple numbers of 5 are 25 and 30

Answer the two consecutive multiples of 5 are 25 and 30

Answer:

25 and 30.

Step-by-step explanation:

Let the smaller consecutive multiple of 5 be 'x'. So, the other multiple will be x + 5.

Now, the statement is the sum of two consecutive multiples of 5 is 55. To find the multiples, we must simplify as below.

x + x + 5 = 55

2x + 5 = 55

2x = 55 - 5

2x = 50

x = 50/2

x = 25

We observe that the smaller consecutive is 25, so the other multiple is x+ 5, 25 + 5 = 30.

(Hope this helps and please mark as the brainliest)