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3 years ago

Gianna buys ice cream and onions at the store.

Mathematics

1 answer:

ryzh [129]3 years ago

7 0

Answer:

$3.40

Step-by-step explanation:

$27.97 - 4.17$

$23.8$

and

$23.8 \div 7$

$3.40$

to check your answer you will need to times 3.40 with 7

$3.40 \times 7$

$23.8$

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Please help me! I’m behind on math and need to get it done! ASAP!

qaws [65]

Answer:

sads

Step-by-step explanation:

7 0

3 years ago

Round to the place value of the less precise measurement. <br> 2.13 m + 8.6 m

Maru [420]

The answer would be 10.19m. If you want to round it of to a less precise measurement it would be 10 m. That is rounding of the decimal value to the ones place. the rule of rounding of is form 6 t0 9 it would add 1 to the nearest place value next to it and 0 - 5 will not.

3 0

3 years ago

Betsy, a recent retiree, requires $5000 per year in extra income. She has $60000 to invest and can invest in B-rated bonds p

solniwko [45]

Betsy needs to invest $32,000 in the B-rated bonds paying 13% interest and $28,000 in the certificate of deposit paying 3% interest.

Interest is calculated by multiplying the rate with the principal.

Let x = the amount Betsy will invest in the B-rated bonds paying 13% per annum. The remaining amount, $60,000-x , she will invest in the certificate of deposit paying 3% per annum.

We can express the earnings on these two investments, after converting the percentages to their decimal equivalents, as: 0.13x+0.03(60000-x) and this is to earn a total of $5,000

Now we can write the necessary equation to solve for x.

or, 0.13x+0.03(60000-x) = 5000

or, 0.13x+1800-0.03x = 5000

or, 0.1x+1800 = 5000

or, 0.1x = 3200

or, x = 32000

So Betsy needs to invest $32,000 in the B-rated bonds paying 13% interest and the remainder ($60,000-$32,000 = $28,000) in the certificate of deposit paying 3% interest to obtain $5,000 in interest per annum.

To learn more about interest:

brainly.com/question/13324776

#SPJ9

3 0

1 year ago

PLEASE HELP! WILL MARK BRAINLIEST!

makkiz [27]

Answer:

The maximum height a rider will experience is 55 feet.

Step-by-step explanation:

Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.

$X(t)=(x,y)$

In which $X(t)$ are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.

$''x''$ and $''y''$ are functions that depend from the variable ''t''.

For this exercise :

$X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30]$

In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function $X(t)$ .

The function to study is $y(t)=-25cos(\frac{\pi}{30}t)+30$

To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.

⇒ $y(t)=-25cos(\frac{\pi}{30}t)+30$ ⇒

$y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)$

Now we equalize $y'(t)$ to 0 ⇒

$y'(t)=0$ ⇒ $\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0$

In this case it is easier to look for the values of ''t'' that verify :

$sin(\frac{\pi}{30}t)=0$

Now we need to find the values of ''t''. We know that :

$sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0$

Therefore we can write the following equivalent equations :

$\frac{\pi}{30}t=0$ (I)

$\frac{\pi}{30}t=\pi$ (II)

$\frac{\pi}{30}t=-\pi$ (III)

From (I) we obtain $t_{1}=0$

From (II) we obtain $t_{2}=30$

And finally from (III) we obtain $t_{3}=-30$

We found the three critical points of $y(t)$ . To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of $y(t)$ :

$y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)$ ⇒

$y''(t)=\frac{\pi ^{2}}{36}cos(\frac{\pi }{30}t)$

Now given that we have an arbitrary critical point '' $t_{n}$ '' ⇒

If $y''(t_{n})>0$ then we will have a minimun at $t_{n}$

If $y''(t_{n})$ then we will have a maximum at $t_{n}$

Using the second derivative test with $t_{1},t_{2}$ and $t_{3}$ ⇒

$y''(t_{1})=y''(0)=\frac{\pi ^{2}}{36} >0$ ⇒ We have a minimum for $t_{1}=0$

$y''(t_{2})=y''(30)=\frac{-\pi^{2}}{36}$ ⇒ We have a maximum for $t_{2}=30$

$y''(t_{3})=y''(-30)=\frac{-\pi^{2}}{36}$ ⇒ We have a maximum for $t_{3}=-30$

The last step for this exercise will be to find the values of the maximums.

We can do this by replacing in the equation of $y(t)$ the critical points $t_{2}$ and $t_{3}$ ⇒

$y(t_{2})=y(30)=55$

$y(t_{3})=y(-30)=55$

We found out that the maximum height a rider will experience is 55 feet.

3 0

3 years ago

Read 2 more answers

What is ( √2 - √3 )² =

allochka39001 [22]

just use FOIL (First, Outer, Inner, Last).

( √2 - √3 ) X ( √2 - √3 )

First: √2 X √2 = 2
Outer: √2 X -√3 = -√6
Inner: -√3 X √2 = -√6
Last: -√3 X -√3 = 3

and then add them together.

2 - √6 - √6 + 3
5 - 2(√6)

The answer is 5 - 2(√6) .

4 0

4 years ago

Read 2 more answers