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Answer:

$ 18,000 was invested at 7%, and $ 5,000 was invested at 6%.

Step-by-step explanation:

Given that I invested $ 23,000 in two accounts paying 6% and 7% annual interest, respectively, and the total interest earned for the year was $ 1,560, to determine how much was invested at each rate, the following calculation must be performed:

23,000 x 0.07 + 0 x 0.06 = 1,610

22,000 x 0.07 x 1,000 x 0.06 = 1,600

21,000 x 0.07 x 2,000 x 0.06 = 1,590

20,000 x 0.07 x 3,000 x 0.06 = 1,580

19,000 x 0.07 x 4,000 x 0.06 = 1,570

18,000 x 0.07 x 5,000 x 0.06 = 1,560

Thus, $ 18,000 was invested at 7%, and $ 5,000 was invested at 6%.

Step-by-step explanation:

n = 52

x bar = 122.31

standard deviation sd = 38.75

1. the hypothesis:

null hypothesis

h0: μ ≤ 35

alternative hypothesis

h1: μ > 35

2.

we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.

3.

= [tex]\frac{122.31-35}{38.75/\sqrt{52} }[/tex]

= 87.31/5.37

= 16.26

using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.

TDIST(16.26, 51, 1)

since p value is very small we reject the null and accept the alternate hypothesis.

4. from the result above the answer to this question is yes

Answer: I (5 + 2/3) oz - xI ≤ 2/5 oz.

Step-by-step explanation:

If we have a mean M, and a measurement error e, then the absolute value inequality that represents the possible values of x, the variable, is:

IM - xI ≤ e

This means that x can be, at maximum, at a "distance" e from M.

In this case, we know that the mean weight is (5 + 2/3) oz, and the error is +- 2/5 oz, then the absolute value inequality that represents this situation is:

I (5 + 2/3) oz - xI ≤ 2/5 oz.

Answer:

Amount = $22000

Step-by-step explanation:

Amount = Principal + Interest

Get the interest

Interest = PRT/100

Interest = 20,000*12*10/12*100

Interest = 200 * 10

Interest = $2000

Amount  = $20,000 + $2000

Amount = $22000

Hi there! Your answer is y = 2x-3

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

For an easy understanding to "proportional equation", It is basically an equation that is in form of y = mx + b where b = 0. Therefore, when b = 0 - Our new equation would be y = mx.

Other choices are in form of y = mx while the first choice isn't in the form of y = mx.

To be a proportional function or equation, the equation must be in the form of y = mx only.

The question asks which equation Is not proportional. Hence, the answer is the first choice.

Hope this helps!

9514 1404 393

Answer:

  z^11

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

  [tex]z^5\cdot z^6=z^{5+6}=\boxed{z^{11}}[/tex]

__

Additional comment

It might help you to think of an exponent as indicating repeated multiplication. It tells you how many times the factor is repeated. In this case, it means ...

  [tex]z^5\cdot z^6=(z\cdot z\cdot z\cdot z\cdot z)\cdot(z\cdot z\cdot z\cdot z\cdot z\cdot z)\\=z\cdot z\cdot z\cdot z\cdot z\cdot z\cdot z\cdot z\cdot z\cdot z\cdot z = z^{11}[/tex]

Answer:

252cm²

Step-by-step explanation:

This figure consists of 2 trapeziums.

Area of a trapezium= (The sum of the parallel side/2)× height

Explanation:

[(16+20)÷2]×7

[36÷2]×7

18×7

126cm²

Since the 2 trapezium have the same value we will just multiply the answer by 2.

126×2

252cm²

Hope this helps:)

Answer:

15 hours

Step-by-step explanation:

A+N=10

(1/A+N)=1/10

(1/A+N) + (1/T)= 1/6

1/T= 1/6-1/10

1/T= (5-3)/30 = 2/30 = 15

It will take Taylor alone 15 hours to complete the work alone.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that Addie, Namanda, and Taylor can paint a room together in 6 hours. Addie and Namanda could do it in 10 hours.

We can write that Addie, Namanda, and Taylor's 1 hour work as (1/6).

Addie and Namanda's 1 hour work = 1/10

So -

1/A + 1/N + 1/T = 1/6

1/A + 1/N = 1/10

Now -

1/T = 1/6 - 1/10

1/T = 10/60 - 6/60

1/T = 4/60

T = 60/4

T = 15 hours

Therefore, it will take Taylor alone 15 hours to complete the work alone.

To solve more questions on time and distance, visit the link-

brainly.com/question/29014197

#SPJ2

Answer:

2.65/.25= 10.6oz

............

Answer:

10.6 Ounces

Step-by-step explanation:

Each ounce of dried pineapple costs $0.25

Divide $2.65 by $0.25

2.65/0.25=10.6

Mags bought 10.6 oz.

Answer:

you plowed more of the field on day 2 than on day one because minus equals

Step-by-step explanation:

Answer:

A. 1,177.58 cm³

Step-by-step explanation:

Volume of hemisphere = ⅔πr³

Radius (r) = 16.51 ÷ 2 = 8.255

π = 3.14

Plug in the values

Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³

= 1,177.57783 ≈ 1,177.58 cm³

Answer:

60

Step-by-step explanation:

Goes down by ten everytime.

Answer: 60

Step-by-step explanation:

You are taking away 10 each time.

Answer:

A = B

Step-by-step explanation:

The correct option is;

A = B

Check:

A = {2,3,4}

B = {2,3,4}

Au B = A n B = {2,3,4}

A or B cannot be null.

check

A = {2,3,4}

B = {}

Au B = {2,3,4}

A n B = {}

Answer: OD) 216

Step-by-step explanation: 6^3 multiple it three times 6x6x6=216

Answer:

120+6

Step-by-step explanation:

Using distributive property 6times 20 is 120 and 6 times 1 is 6 so 120+6

Answer:

1,200 meters.

Step-by-step explanation:

Given that the farmer has a field of 300 meters and he wants to fence it with 4 rounded barbed wire, to determine what is the total length of wire he requires, the following calculation must be performed:

300 x 4 = X

1,200 = X

Thus, the farmer needs 1,200 meters of barbed wire to be able to fence his entire field.

Answer:

d 8

e 30

Step-by-step explanation:

x must be greater than 5

Answer: D E

Step-by-step explanation:

2(8) > 10

2(30) > 10

Both greater than

Answer:

let no be x

by the question

2x-5=9

2x=9+5

x=14/2=7

the secret no is 7.

Finding the Decay constant(λ):

λ = 0.693 / (half-life)

we are given that the half-life is 36 hours

λ = 0.693 / (36)

λ = 0.01925 /hour

Time taken for 87% decay:

Since decay is first-order, we will use the formula:

[tex]t = \frac{2.303}{decay constant}log(\frac{A_0}{A} )[/tex]

Where A₀ is the initial amount and A is the final amount

Let the initial amount be 100 mg,

the final amount will be 87% of 100

Final amount = 100*87/100 = 87 mg

Replacing the values in the equation:

[tex]t = \frac{2.303}{0.01925}log(\frac{100}{87} )[/tex]

[tex]t = \frac{2.303}{0.01925}*0.06[/tex]

t = 7.18 hours

We used 'hours' as the unit because the unit of the decay constant is '/hour'

Therefore, the drug will decay to 87% of initial dosage after 7.18 hours

Answer:

27

Step-by-step explanation:

First multiply 7 times 2 according to pemdas. Then add 10+3+14. The final answer would be 27.

Answer:

ya its 27 make sure u use pemdas but ya its 27

Answer:

Number 6 is 7

Step-by-step explanation:

8 x 7 = 56

49 + 7 = 56

Answer:

here,. let the first number be x and another be y

from 1st condition

x+y =18 .......eq(i)

from 2nd condition

x-y =-8.........eq(ii)

solving both equation,we get

x=5 and y=13

Answer:

9

Step-by-step explanation:

99

Answer:

1

Step-by-step explanation:

monday, tuesday, wednesday, thursday, friday, saturday, and sunday all have "a" in it so it has a 100% probability

Answer:

There would be a 100% chance.

Step-by-step explanation:

All the days of the week end with -day. The word day has an 'a' in it.

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

Therefore, it will be certain that you will pick a day that has an 'a' in it's name.

Hope this helps!

Answer:

6?

Step-by-step explanation:

I guessed dont trust the answer

Answer:

b

Step-by-step explanation:

Answer:

Y = 2x. it is given

now , 2x + 2y = 30

now putting y = 2x ,. in ( 2x + 2y) = 30

hence ,.2x + 4x = 30

6x = 30

x= 5

now ,y= 2x

y = 10

Answer:

Step-by-step explanation:

Since one of zero's is complex number, its conjugate should also be a zero of the given polynomial.

The polynomial is going to be:

Substitute zero's: