Harold balance in his savings account was $10,000. The savings account earns annual simple interest. At the end of 3 yeah, the balance of the account was $11,875. If Harold did not make additional deposits or withdrawals, what was the approximate annual interest rate on the savings account?​

Answer:

it is 90 degrees

Step-by-step explanation:

All you have to do is add the sides that you know and triangles total is 180 so add 32+58 and u get 90 degrees then u will have to subtract 180 from 90 and it equals 90 which is your missing angle

Answer:

4838388.34?

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

Answer:

9/11

Step-by-step explanation:

(6 × 3)/22

18/22 = 9/11

Answer:

525 ml

Step-by-step explanation:

12 : 175 ml

36 : x

= 175 × 36

= 6300

x = 6300/12

= 525 ml

The amount of milk that is used while baking 36 scones will be 525 mL.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Chloe runs the after-school cookery club. The group will be baking 36 scones using the following recipe.

Recipe for 12 scones:

The amount of milk that is used while baking 36 scones will be given as,

⇒ 175 x 36 / 12

Simplify the expression, then we have

⇒ 175 x 36 / 12

⇒ 175 x 3

⇒ 525 mL

The amount of milk that is used while baking 36 scones will be 525 mL.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

Answer: 0.1257

Step-by-step explanation:

Let [tex]z_0[/tex] be the z-score that corresponds to a right tail area of 0.45.

We need to find [tex]z_0[/tex] such that [tex]P(z>z_0)=0.45[/tex]

From the z-score table, z-value corresponds for area of 0.45 is 0.1257.

That means  [tex]z_0=0.1257[/tex]

Hence, the approximate z-score that corresponds to a right tail area of 0.45 is 0.1257 .

Answer:

[tex]\frac{5}{3}[/tex] is the slope of the line

Step-by-step explanation:

When two lines are perpendicular, their slopes are inverse.

[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).

Hope this helps!

Answer:

2430

Step-by-step explanation:

The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:

Given that:

[tex]R = (p - 1)(200 - 40p)[/tex]

To calculate the break even, we set R to 0.

So, we have:

[tex](p - 1)(200 - 40p) =0[/tex]

Split

[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]

Solve for p

[tex]p = 1[/tex] or [tex]40p = 200[/tex]

Divide by 40 in the second equation

[tex]p=1[/tex] or [tex]p =5[/tex]

The break even price is at $1 and $5

To maximize his revenue, we have:

[tex]R = (p - 1)(200 - 40p)[/tex]

Open bracket

[tex]R = 200p - 200 - 40p^2 + 40p[/tex]

Rewrite as:

[tex]R = - 40p^2+ 200p + 40p- 200[/tex]

[tex]R = - 40p^2+ 240p- 200[/tex]

Differentiate

[tex]R' = -80p + 240[/tex]

Equate to 0 and solve for p

[tex]-80p + 240=0[/tex]

[tex]-80p =- 240[/tex]

Divide by -80

[tex]p = 3[/tex]

To maximize his revenue, he as to charge $3

The most money he can make is calculated as:

[tex]R = (p - 1)(200 - 40p)[/tex]

Substitute [tex]p = 3[/tex]

[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]

[tex]R = (3 - 1)(200 - 120)[/tex]

[tex]R = 160[/tex]

The most money he can make is $160

The charges he sold when he made $100 is:

[tex]R = - 40p^2+ 240p- 200[/tex]

Substitute 100 for R

[tex]- 40p^2+ 240p- 200=100[/tex]

Collect like terms

[tex]- 40p^2+ 240p- 200-100=0[/tex]

[tex]- 40p^2+ 240p- 300=0[/tex]

Divide through by -20

[tex]2p^2- 12p+ 15=0[/tex]

Using quadratic formula, the solution of p is:

[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]

So, we have:

[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]

[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]

[tex]p = \frac{12 \± 4.90 }{4}[/tex]

Split

[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]

[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]

[tex]p = 4.225\ or\ p = 1.775[/tex]

He charged $4.225 or $1.775 to make $100.

Read more about revenue and price at:

https://brainly.com/question/11859895

The experiment is messed up. Business and rental drivers are usually much more careful in their driving patterns because the car isn't theirs. They are usually adults, experienced drivers who don't put themselves into risky driving situations. =  Speeding, cutting off others etc.. It also didn't tell how  much the cars were driven. There may have been a down turn in the economy and thus less business driving and same with the rentals. If they were used less after the installation then the study wasn't really valid. What was the price of gas before and after the instillation. Who did the study? Did the  previous testers have any reason to skew the study? Did they own stock in the third light business?  Was it the same people who did the study before who did the study afterwords? What was the average age of the drivers before and after? The study group may have aged and calmed down a bit more? What were the technology changes that occurred about the same time? Anti skid brakes, better material and tread designs for the tires, what about the design of the gages and their lighting.  How about the window styles and size..larger windows mean better view and potentially less accidents. What were the safety aspects of the cars before compared to the cars after, were they the same makes and Models or did the rental and business learn that certain cars were safer than others and move to the safer Models? so many variables to consider but did the tester consider them all-probably not. Random studies study only a certain percentage of the total. Who's to say the second random study didn't get less experienced drivers to study? All good what ifs'.

Answer:

Step-by-step explanation:

Total energy of the sandwich = 628kcal

Mass of fat contained = 36grams

Convert gram to kcal

1gram = 9kcal

36 grams = x

x = 36×9

x = 324kcal

Hence the fat contains 324kcal

%fat contained = fat(in kcal)/total calorie × 100%

%fat contained = 324/628 × 100%

%fat contained = 1/2 × 100%

%fat contained = 50%

Hence approximately 50% of the total energy is contributed by fat.

here is the Answer:

5(x+4)

Hope it helps

Answer:

C) 4

Step-by-step explanation:

Just follow the same steps as the last one.

32x+2 = 33x-2

2+2=33x-32x

4=1x

X=4

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

Both the empty set and the total set are subsets of the given set.

Hence there are 4 subsets.

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

9514 1404 393

Answer:

  170 mph

Step-by-step explanation:

The speed of the airplane can be represented by s. The travel time will be ...

  time = distance/speed

  925/(s +15) = 775/(s -15)

  925(s -15) = 775(s +15)

  150s = 25500 . . . . . . . . . add 13875-775s

  s = 170

The rate of the plane in still air is 170 mph.

Answer:

2(7x-4)

Step-by-step explanation:

Answer:

2(7x-4)

Step-by-step explanation:

Factor out the gratest common divisor of the coefficients of 14x - 8

Answer:

Answer below

Step-by-step explanation:

It would be 36×2=72

since we're doubl8ng it so there would be 72 hooded sweatshirts

Answer:

24 Hooded Sweatshirts

Step-by-step explanation:

36/3=12

2x12=24 or hooded sweatshirts

1x12=12 or crewneck sweatshirts

12+24=36 total sweatshirts :)

Answer:

0.03177

Step-by-step explanation:

Prob (Bld grp) ~ Bin (N, P)

N = 15, P = Prob of success ie 'O' blood type = 0.45

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

a. The  probability that exactly three have blood type O is 0.03177

Since

Prob (Bld grp) ~ Bin (N, P)

So

N = 15,

P = Prob of success ie 'O' blood type = 0.45

Now

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

So,

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

hence, The  probability that exactly three have blood type O is 0.03177

Learn more about probability here: https://brainly.com/question/21102470

Answer:

Yes, it does. The ground is bumpy and it creates friction acting against the car's motion.

(you can include my example too depending on what your teacher is looking for)

Step-by-step explanation:

This is a fun one! Think about a ball rolling on a smooth surface, now on a bumpy sandpapery one. Which one do you think is faster? The smooth surface! This is because of this friction of the sandpaper which slows down the ball. On the other hand, the smooth one has very little friction. The same applies to cars.

Answer:

13 gallons

Step-by-step explanation:

Answer:    15 an ummm  fine

Step-by-step explanation:

Answer:

15 is the correct answer

Answer:

Answer choice on the top right.

Step-by-step explanation:

A function of points can not share the same x value.

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

znznzmzspmzlsldfpcf

Answer:

0

There is no x or number with an x (example: y= 2x+3, the 2 would be the slope)

Answer:

0

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

i hope this helps you! :)

Answer:

1/3

Step-by-step explanation:

When you are subtracting frations with the same denominator, you would only subtract the numerator and keep the denominator the same.

Answer:

y = -5/3x -7

Step-by-step explanation:

If lines are parallel they have the same slope m = -5/3. Just need to figure out the new y-intercept going through the point (-9, 8).

y = mx + b

8 = -5/3(-9) + b

8 = 15 + b

b = -7

Now use m and b to form new equation of parallel line.

y = mx + b

y = -5/3x -7

Answer:

Domain: (-∞,∞)

Range: {−27}