What is the surface area of the rectangular pyramid?

Given:

Total amount invested = $3000

Rate of annul interest on investments are 5% and 8%.

Total interest earned for the year = $210

To find:

The amount invested at each rate.

Solution:

Let the amount invested at 5% be [tex]\$x[/tex] and the amount invested at 8% be [tex]\$(3000-x)[/tex].

Total interest earned for the year = $210

It means. 5% of [tex]x[/tex] + 8% of [tex](3000-x)[/tex] = 210

[tex]x\times \dfrac{5}{100}+(3000-x)\times \dfrac{8}{100}=210[/tex]

Multiply both sides by 100.

[tex]5x+(3000-x)8=21000[/tex]

[tex]5x+24000-8x=21000[/tex]

[tex]-3x=21000-24000[/tex]

[tex]-3x=-3000[/tex]

Divide both sides by -3.

[tex]x=1000[/tex]

Now,

[tex]3000-x=3000-1000[/tex]

[tex]3000-x=2000[/tex]

Therefore, the amount invested at the rate of 5% is $1000 and the amount invested at the rate of 8% is $2000.

Answer:

52.8 feets

Step-by-step explanation:

From the diagram :

The height of tree woulb be :

Height above the ground (at breakpoint) + hypotenus

Hypotenus, h cab be obtained using Pythagoras rule :

h² = opp² + adj²

h² = 39² + 12²

h² = 1665

h = sqrt(1665)

h = 40.804 feets

Height of tree to the nearest tenth ;

40.804 feets + 12 feets

= 52.804 feets

= 52.8 feets

they took my first answer off, so i came back. but honestly thank you for the points. have an amazing day!

Answer:

A

Step-by-step explanation:

sin= opp./hyp.

Answer:

the answer is b 8/17

Step-by-step explanation:

djdksjdhdjdishhsbdbSv

id.k

Answer:

no

Step-by-step explanation:

: Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Answer:

B

Step-by-step explanation:

Given:

A line passes through the points (2,-1) and (1,-5).

To find:

The equation of the line.

Solution:

If a line passes through the two points, then the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is

[tex]y-(-1)=\dfrac{-5-(-1)}{1-2}(x-2)[/tex]

[tex]y+1=\dfrac{-5+1}{-1}(x-2)[/tex]

[tex]y+1=\dfrac{-4}{-1}(x-2)[/tex]

[tex]y+1=4(x-2)[/tex]

Using distributive property, we get

[tex]y+1=4(x)+4(-2)[/tex]

[tex]y+1=4x-8[/tex]

Subtract 1 from both sides.

[tex]y+1-1=4x-8-1[/tex]

[tex]y=4x-9[/tex]

Therefore, the correct option is B.

Answer:

5/4 (In terms of fours)

Step-by-step explanation:

1/4+1/2+1/2

5/4

Answer:

Step-by-step explanation:                    ..............

Answer:

Step-by-step explanation:

bottom left is 13a + 2b

bottom right is 15y - 6

Answer:

1) 13a + 2b

2) 15y² - 6

Step-by-step explanation:

3a + 2(b + 5a)

3a + 2b + 10a

13a + 2b

3y² + 3(4y² - 2)

3y² + 12y² - 6

15y² - 6

Answer:

21 ounces

Step-by-step explanation:

Milk chocolate sold was 2 1/10 times more than white chocolate

If two ounces of white chocolate was sold.

The total ounces of milk chocolate sold = [tex]2\frac{1}{10}[/tex] × 2

= [tex]\frac{21}{2}[/tex]  × 2  = 21 ounces

Answer:

Step-by-step explanation:

We know that the Circumference = 3454 cm

And we also know that the formula for the Circumference of Circle is,

[tex]2\pi \times r[/tex]

So we can put the equation this way,

[tex]3454 = 2\pi \times r[/tex]

So we can solve for 'r'

[tex]3454 = 2 \times 3.14 \times r \\ 3454 = 6.28r \\ r = \frac{3454}{6.28} \\ r = 550[/tex]

Now we have radius and we can solve for the area of the circle,

[tex]\pi \times {r}^{2} [/tex]

[tex]3.14 \times 550 \times 550 \\ = 949850[/tex]

We can convert this to meter,

9498.5 m

I am not sure if this is correct just let me know thanks :)

Answer:

d = 6.1m

n = 7km

Step-by-step explanation:

To find the variables, use tan

⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]

finding d:

⇒tan 63 = [tex]\frac{d}{3.1}[/tex]

tan of 63 is 1.963

⇒ 1.963 = [tex]\frac{d}{3.1}[/tex]

multiply 3.1 on both sides

⇒ 1.963 x 3.1 = [tex]\frac{d}{3.1}[/tex] x 3.1

⇒ 6.0853 = d

round to the nearest tenth:

⇒ 6.0853 = 6.1

finding n:

⇒ tan 45 = [tex]\frac{7}{n}[/tex]

tan of 45 is 1

⇒ 1 = [tex]\frac{7}{n}[/tex]

multiply 7 on both sides:

⇒ 1 x 7 = [tex]\frac{7}{n}[/tex] x 7

7 = n

Answer:

D = 1.4, N =

Step-by-step explanation:

To get D you need to find the cosine of 63 degrees

Cosine(63) = D / 3.1

Multiply by 3.1 to isolate D :

3.1Cosine(63) = D

Put it into a calculator and you'll get 1.4.

Also, it's a 45-45-90 triangle so the 2 legs will be equal to each other.

Proof: To get N put you have to do the tangent of 45 degrees

Tan(45) = 7 / N

Now you can't to do this you have to multiply the both sides by N

N(tan(45)) = 7

Then divide both sides by (tan(45))

N = 7 / (tan(45)

Put it into the calculator and you'll get

Answer:

3x^2+4x+1

Step-by-step explanation:

Given the polynomial function 4x + 3x^2 - 1

Rearranging in descending order means that we are to arrange the degree power from the highest to the lowest.

The term with the highest degree is 3x^2

Followed by 4x

Then the constant 1

Adding according to the descending powers

The polynomial in descending order will be 3x^2+4x+1

Answer:

It’s A!

Step-by-step explanation:

took the test :)

Answer:

B and D

Step-by-step explanation:

Step-by-step explanation:

principle (p) = $4700

rate (r) = 1.65%

time (t) = 4.5 years

interest = (p × r × t)÷100

= ($4700 × 1.65 × 4.5)÷100

= $348.975

The balance in his account at the end of 4.5 years is $5048.975.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Enrique deposited $4,700 into an account.

Enrique earned 1.65% annual simple interest on the money in the account.

Time= 4.5

Now,

SI= 4700*1.65*4.5/100

SI=348.975

Total= 4700+348.875

=5048.975

Therefore, the amount after simple interest of 1.65% will be $5048.975.

Learn more about simple interest here;

https://brainly.com/question/1548909

#SPJ6

Answer:

0.3 miles

Step-by-step explanation:

Using trigonometry : d

Tanθ = opposite / Adjacent

Tan 11 = d1 / 2

2tan11 = d1

0.3887606 miles  = d1

Tanθ = opposite / Adjacent

Tan 11 = d2 / 2

2tan18 = d2

0.6498393 miles  = d2

d2 - d1 = Distance flown within the minute

0.6498393 - 0.3887606 miles

= 0.2610787 miles

= 0.3 miles

Answer:

= 10

Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!

Answer: The answer is B

Hope this helped love<3

Answer:

B

Step-by-step explanation:

Law of Sines:

Sin(a)/opposite side=Sin(b)/opposite

Sin(55)/x=sin(90)/59

Sin(55)/(Sin(90)/59)

sin(90)=1

Sin(55)/(1/59)

59Sin(55)=48.33

Please mark brainliest :)

Answer: 7693cm

Step-by-step explanation:

The volume of a cone is given as:

= 1/3πr²h

where π = 3.14

radius = 3.5cm

height = 12

Volume = 1/3πr²h

= 1/3 × 3.14 × 3.5² × 12

= 153.86cm³

Therefore, the amount of water that is needed to fill 50 cups will be:

= 153.86 × 50

= 7693cm

Answer:

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

3 - 4x - 3 = -29 - 3

-4x = -32

then divide both sides by -4

Answer:

54

Step-by-step explanation:

54

Answer:

z = [tex]\frac{979}{5}[/tex] or z = 195.8

y=-30

a = 5

b = -7

x = 64

Step-by-step explanation:

Answer:

Ana washed 8 cars.

Step-by-step explanation:

x=amount of cars washed

26=2x+10

16=2x

x=8

Answer:

(1,6) , (2,7) , (3,8) , (4,9) , (5,10)

Step-by-step explanation:

Given equation: y = x + 5

when x = 1, y = 1 + 5 = 6

(1,6)

when x = 2, y = 7

(2,7)

when x = 3 , y = 8

(3,8)

when x = 4 , y = 9

(4,9)

when x = 5 , y = 10

(5,10)