A stockbroker has money in three accounts. The interest rates on the three accounts are 7%, 8%, 9%. If she has twice as much money invested at 8% as she does in 7% Three times as much at 9%
as she has at 7%, and the total interest for the year is $150 how much is invested at each rate?


The stockbroker invested $___at 7%,$___at 8%, and $___at 9%

Answer:

7 is 50 , 8 is84, 9 is 45, 10 is 135, 11 is 155 and 12 is 80

Step-by-step explanation:

Answer:30

Step-by-step explanation:

Answer:

52.........................

Answer:

A

Step-by-step explanation:

(2x + 6)° = 32°.........(Alternate angles are equal)

2x° = 32°- 6°

2x° = 26°

x. = 26 ÷ 2

x. =. 13°

PLEASE GIVE BRAINLIEST....

Answer:

≈ 53.7° (Option 3)

Step-by-step explanation:

In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.

Length of side opposite to angle 'x' = 15 cm

Length of side adjacent to angle 'x' = 11 cm

Using 'tan' formula - [tex]\tan x = \frac{Side \: opposite \: to \: x}{Side \: adjacent \: to \: x}[/tex] , lets solve this.

[tex]=> \tan x = \frac{15}{11}[/tex]

Using inverse tan function , lets find x.

[tex]=> x = {\tan}^{-1}(\frac{15}{11} )[/tex] ≈ 53.74°

Answer:

135

Step-by-step explanation:

135+45=180

Answer:

$177

Step-by-step explanation:

35.40 * 5 = 177 you multiply 35.40 with 5

I can try and help, 36 = 3 (4.5 + x), whichif you distribue, you get 36 = 13.5 + 3x, and if you solve from there, you get 22.5 = 3x, then your answer, 7.5 = x

Answer:

7x+28

Step-by-step explanation:

7(x+4)

Use the distributive property to multiply 7 by x+4.

7x+28

Graph if needed:

Answer:

yes, cuz the rational numbers is said to be 0 or real numbers.

Answer:

Multiply the second equation by 2

Step-by-step explanation:

Given

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

Required

Get matching coefficient for elimination

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

The coefficient of x in both expressions are factors.

So, we can multiply the second equation by 2 to get the coefficient of x in the first.

i.e.

[tex]2 * (2x + 5y = 12)[/tex]

[tex]4x + 10y = 24[/tex]

So, the system becomes:

[tex]4x + 3y = 8[/tex]

[tex]4x + 10y = 24[/tex]

Now, x can be eliminated

Using the Pythagorean theorem:

X = sqrt(21^2 - 19^2)

X = sqrt(441 - 361)

X = sqrt(80)

X = 8.944

Rounded to the nearest tenth = 8.9

Answer:

x = ~8.9

Step-by-step explanation:

a^2 + b^2 = c^2

c is the long side

a and b are the other two shorter sides

this means

x^2 + 19^2 = 21^2

x^2 + 361 = 441

x^2 = 441- 361

x^2 = 441- 361

x^2 = 80

square root of 80 = ~8.9

x = ~8.9

Answer:

500(1/2)^t/2

Step-by-step explanation:

Use the exponential function f(x)=a(b)ct. The initial population, 500, gives the the point (0,500) and leads to coefficient of the exponential function, a=500.

f(t)=2000(b)ct

After 2 hours, the population has decreased by half. This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, we know ct=1 when t=2, therefore c=1t and c=12. This gives the equation:

f(t)f(t)=500(12)12(t)=500(12)t2

Alternate Solution

The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a=500 as follows:

500a=a(b)0=500

The decay coefficient, b, can be determined by substituting in the value for a and the point (2,250) and the solving as follows:

25025050012(12)12b=500(b)2=b2=b2=b≈0.7071

This gives the final exponential equation:

f(t)=500(0.7071)t

When the exponential function that represents the size of the bacteria population after t hours is = [tex]500(1/2)\wedge t/2[/tex]

When we Use the exponential function f(x)=a(b)ct. Then, The initial population, 500, Also, gives the point (0,500) and then leads to the coefficient of the exponential function, a is =500.

Then, f(t)=2000(b)ct

After that, for 2 hours, the population decreased by half. Then, This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, Now, we know ct=1 when t=2, therefore c=1t, and c=12. This gives the equation:

Then, f(t)f(t)=500(12)12(t)=500(12)t2

Now, an Alternate Resolution

When The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a is =500 as follows:

After that, 500a=a(b)0=500

Then, The decay coefficient, b, can be determined by substituting the value for a and the point (2,250) and also the solving as follows:

Now, 25025050012(12)12b =500(b)2=b2=b2=b≈0.7071

So, This gives the final exponential equation:

Therefore, f(t) is =500(0.7071)t

Find more information about Exponential function here:

https://brainly.com/question/27204818

Answer:

√36/√16 is a rational number as it can be written as 6/4=3/2 which is rational

Answer:

360 - 98 = 262

Step-by-step explanation:

Answer:

The mean of the sampling distribution of sample means would be of 23.4 pounds.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

What would be the mean of the sampling distribution of sample means?

By the Central Limit Theorem, the population mean, that is, of 23.4 pounds.

Step-by-step explanation:

20>5+2n-9

20+9>5+2n

29-5>2n

n>12

hope it helps.

Answer:

5 kilograms

Step-by-step explanation:

1000 grams is equal to 1 Kilogram, so 5000 Grams is equal to 5 Kilograms

Answer:

96 dozen (or/aka) 1152 cupcakes

Step-by-step explanation:

I hope this is right, if not I'm very sorry just bad at math.

Answer:

24

Step-by-step explanation:

2(54-6x)=73-7x

108-12x=73-7x

108-73=-7x+12x

35=5x

x=7

UW=73-7x=73-7(7) = 73-49 = 24

Answer:

Equal

Step-by-step explanation:

Answer:

AB<BC

Step-by-step explanation:

Just put that answer hope I helped!!

Answer:  9.8

Step-by-step explanation: just divide

please make me brainliest

Answer:

Step-by-step explanation: Division (duh)

9.8

Answer:

the answer is 4x

Step-by-step explanation:

x×x+3x

x+3x

4x

Answer:

Step-by-step explanation:

Answer:

1000

10x10x10= 1000

........

Answer:

1000

Step-by-step explanation:

10 x 10 x 10 = 1000  (each number can be repeated on every digit)