Dan invests £11000 into his bank account.
He receives 7.5% per year simple interest.
How much will Dan have after 3 years?
Give your answer to the nearest penny where appropriate.

Answer:

$162.5

Step-by-step explanation:

12.50x15= 187.5

187.5-25= 162.5

Answer:

15

Step-by-step explanation:

The amount of water displacement would be equivalent to the volume of the rock, which is 1800. We find this by doing 10 x 12 which is 120. Now we can divide 1800 by 120, which is 15. Giving us the dimensions 10 x 12 x 15.

Step-by-step explanation:

-1&-4 because it is the answer

Answer:

vertex (-3,-1)

Step-by-step explanation:

Answer:

c. y = x - 6

Step-by-step explanation:

This question wants you to find the equation in slope-intercept form, each is y=mx+b, where m is the slope and b is the y-intercept. The first thing to do is find the y-intercept, to do this find the value of y when x equals zero. The way to do this is to look the value of y on the y-axis. In this case, the y-intercept is -6. Then, find the slope; since you are given the graph you can count out the slope. To do this find out how much the y and x values change. On this graph, y increases 1 when x increases 1, so the slope is 1/1 or one 1. So the equation is y=1x-6, which simplifies to y=x-6.

Answer:

a₁₈ = 113

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 49 - 45 = 53 - 49 = 57 - 53 = 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 45 and d = 4, then

a₁₈ = 45 + (17 × 4) = 45 + 68 = 113

Answer:

n² + 3n +1

Step-by-step explanation:

n(n+1) + 2n + 1

= (n×n) + (n×1) + 2n + 1

= n² + n + 2n + 1

= n² + 3n +1

Answer:

Anthony needs to invest $99.33.

Step-by-step explanation:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Interest rate of 2.7% compounded quarterly.

This means that [tex]r = 0.027, n = 4[/tex].

How much would Anthony need to invest, to the nearest hundred dollars, for the value of the account to reach $130 in 10 years?

We have to find P for which: [tex]A = 130, t = 10[/tex]. So

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

[tex]130 = P(1 + \frac{0.027}{4})^{4*10}[/tex]

[tex]P = \frac{130}{(1 + \frac{0.027}{4})^{4*10}}[/tex]

[tex]P = 99.33[/tex]

Anthony needs to invest $99.33.

Step-by-step explanation:

angle 5, 3, 7 since they're vertical and alternate interior angles that are all connected to angle 1

Answer:

The answer required in ratio is: b:c = 9:8

Step-by-step explanation:

We are given:

The ratio a:b = 2:3 and the ratio a:c = 3:4

We need to find the ratio b:c

a:b=2:3 can be written as:

[tex]\frac{a}{b}=\frac{2}{3}[/tex]

Finding value of a by cross multiplying:

[tex]\frac{a}{b}=\frac{2}{3}\\3a=2b\\a=\frac{2b}{3}[/tex]

a:c = 3:4 can be written as: [tex]\frac{a}{c}=\frac{3}{4}[/tex]

Putting value of a and finding b:c

[tex]\frac{a}{c}=\frac{3}{4}\\Put\:a=\frac{2b}{3}\\\frac{2b}{3}}\times \frac{1}{c}=\frac{3}{4} \\Finding\:value\:of\:b/c\\\frac{b}{c}=\frac{3\times 3}{4 \times 2}\\ \frac{b}{c}=\frac{9}{8}[/tex]

So, we get the value of [tex]\frac{b}{c}=\frac{9}{8}[/tex]

The answer required is in ratio so: b:c = 9:8

Answer: 3 degrees Celsius

Step-by-step explanation: ⬛

Answer:

2/5 meters

Step-by-step explanation:

Answer:

6433333200

Step-by-step explanation:

quick math

Answer:

The Federal government relies the most on income tax.

Step-by-step explanation:

Answer:

-64.1 belong to Rational numbers.

Hope it helps!

Answer:

The equation perpendicular to  y = 3x - 2 and passing through  (-9, 0) in the slope-intercept form will be:

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the line

y = 3x - 2

comparing with the slope-intercept form of the line equation

The slope of the line y = 3x - 2 is: m = 3

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:  

slope = m = 3

Thus, the slope of the the new perpendicular line = – 1/m = -1/3 = -1/3

The point-slope form of the line equation is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case:

now substituting the perpendicular slope m = -1/3 and (-9, 0) in the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-0=-\frac{1}{3}\left(x-\left(-9\right)\right)[/tex]

[tex]y=-\frac{1}{3}\left(x-\left(-9\right)\right)[/tex]

[tex]y=-\frac{1}{3}\left(x+9\right)[/tex]

[tex]\:\:y\:=-\frac{1}{3}x-3[/tex]

Therefore, the equation perpendicular to  y = 3x - 2 and passing through  (-9, 0) in the slope-intercept form will be:

Answer:  there is the answer, number line, and graph answers

Step-by-step explanation:

Answer:

3:4

Step-by-step explanation:

Answer:

9 to 8

Step-by-step explanation:

Answer: right

Step-by-step explanation:

Answer: C

Step-by-step explanation: straight line=straight angle

Answer:

grade=15%

Step-by-step explanation:

For 2 ft on x-axis it has elevated 0.3 ft on y-axis

m=0.3/2=0.15 ft

grade=m x 100

grade=15%

Answer:

Test statistic (t) = 0.625

Step-by-step explanation:

Step(i):-

mean of the Population(μ) = 10.4 hours

Sample mean (x⁻) = 10.7 hours

Standard deviation of the sample( S)  = 1.44

The level of significance (α= 0.1

Sample size 'n' = 9

Degrees of freedom = n-1 = 9-1 =8

Step(ii):-

Test statistic

                     [tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

                   [tex]t = \frac{10.7 -10.4}{\frac{1.44}{\sqrt{9} } } =0.625[/tex]

Answer:

0.95? I hope it's correct

Answer:

45 miles and 110 feet

Step-by-step explanation:

1. Convert into feet (1 miles = 5280 feet)

2431 x 5280 = 12835680

2. Add

12835680 + 660 = 12836340

3. Divide

12836340 divided by 54 = 237710

4. Divide

237710  divided by 5280 = 45 r 110

Answer:

45 miles 110 feet

Step-by-step explanation:

Answer:

the tree would be 45 feet tall

Step-by-step explanation:

so the house is 30 feet and 50 feet shadow, if you divide by 2 you can see that every 15 feet gives a 25 foot shadow, since 75-50 is 25 so in turn if the tree is 45 feet tall, it will make 75 foot shadow

Answer:

x=3+i or x=3-i

Step-by-step explanation:

x²-6x+10=0

(x²-6x+9) + 1 = 0

(x-3)² + 1 = 0

(x-3)² = -1

x-3 = ± √-1 = ± i

x = 3 + i    or x = 3 - i

The next step is that L in can write her solution using i be like x = 3 + i or x = 3 - i.

Mathematical phrases with two algebraic symbols on either end of the equal (=) sign are called equations. To illustrate this connection, the expressions just on the left and right are demonstrated to be equivalent to each other. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

From the given values provided in the question,

x² - 6x + 10 = 0

(x² - 6x + 9) + 1 = 0

(x - 3)² + 1 = 0

(x - 3)² = -1

x - 3 = ±√-1

x - 3 = ± i

x = 3 + i or,    

x = 3 - i

To know more about equation:

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Answer:40

Step-by-step explanation: