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3 years ago

Please help !![90 points if correct]

Mathematics

1 answer:

3241004551 [841]3 years ago

7 0

Answer:

2201.8348 ; 3 ; x / (1 + 0.01)

Step-by-step explanation:

Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years

Sum = principal = p

Using the relation :

A = p(1 + rt)

2400 = p(1 + 0.06(1.5))

2400 = p(1 + 0.09)

2400 = p(1.09)

p = 2400 / 1.09

p = 2201.8348

2.)

12000 amount to 15600 at 10% simple interest

A = p(1 + rt)

15600 = 12000(1 + 0.1t)

15600 = 12000 + 1200t

15600 - 12000 = 1200t

3600 = 1200t

t = 3600 / 1200

t = 3 years

3.)

A = p(1 + rt)

x = p(1 + x/100 * 1/x)

x = p(1 + x /100x)

x = p(1 + 1 / 100)

x = p(1 + 0.01)

x = p(1.01)

x / 1.01 = p

x / (1 + 0.01)

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MATH

ale4655 [162]

Answer:

the answer is 3

Step-by-step explanation:

in the number 66 there are "2" circles in them and so the answer we get 2

in the number 99 there are "2" circles and so the answer there is 2

in the number 888 there are "6" circles so the answer is 6

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in the number 7777 there are no circles so the answer is 0

we keep on going like that......

in the number 2876 there are 3 circles 2 in the number 8 and 1 in the number 6

hope this helped :D

7 0

3 years ago

A random sample of 10 chocolate energy bars of a certain brand has, on average, 230 calories per bar, with a standard deviation

Troyanec [42]

Answer:

The confidence interval for the true mean calorie content is

$215$

Step-by-step explanation:

In this problem we know the mean and standard deviation fo the sample, so we can compute the CI like this:

$\bar{x}-t*s/\sqrt{n}< \mu$

We need to determine t for 10-1=9 degrees of freedom and 99% confidence level. We look up in the t-table and the value for t is 3.2498.

Then we can calculate the limits of the CI:

$\bar{x}-t*s/\sqrt{n}< \mu$

5 0

4 years ago

A 12 feet tall street light is making an 18 feet shadow at the same time in nearby building is making a 72 feet shadow

Harman [31]

Answer: 48 ft

Step-by-step explanation:

Given

Height of street light h=12 ft

length of shadow x=18 ft

Shadow length of building x'=72 ft

suppose the height of the building is y

from the figure, we can write

$\Rightarrow \tan p=\dfrac{h}{x}=\dfrac{12}{18}\\\\\Rightarrow \tan p=\dfrac{y}{x'}=\dfrac{12}{18}\\\\\Rightarrow y=72\times \dfrac{2}{3}=48\ ft$

7 0

3 years ago

Find the number of sides for a regular polygon whose interior angles each measure 10 times each exterior angle

gavmur [86]

Answer:

22 sides

Step-by-step explanation:

The expression to find an interior angle of a polygon is:

$\frac{(n-2)*180}{n}$

The expression to find an exterior angle of a polygon is:

$\frac{360}{n}$

Please note that "n" represents the number of sides the polygon has.

We can use these two expressions to set up an equation.

$\frac{(n-2)*180}{n}=10(\frac{360}{n})$

Multiply both sides by "n":

$(n-2)*180=10n(\frac{360}{n})$

Now, distribute:

$180(n)-180(2)=\frac{3600n}{n}\\180n-360=3600$

Divide both sides by 10:

$\frac{180n}{10}-\frac{360}{10}=\frac{3600}{10}\\$

$18n-36=360$

Add 36 to both sides:

$18n=360+36\\18n=396$

Divide both sides by 18:

$n=22$

The polygon has 22 sides

6 0

3 years ago

Solve using suitable property: (-15) x 8 + (-15) x 4

MissTica

Step-by-step explanation:(-15)*8+(-15)x4

Is (-15)x(4+8)

(-15)x(12)

Answers is (-180)

3 0

3 years ago

Please help !![90 points if correct]​

Please help !![90 points if correct]