Answer:
First fund: $4000
second account: $2000
Step-by-step explanation:
invest x for first fund (A) and y for second fund (B)
interest for A: x * 0.05
interest for B: y * 0.09
0.05 x + 0.09 y = 380 ....(1)
x + y = 6000 ..... (2)
y = 6000 - x ....substitute y in (1)
0.05 x + 0.09 (6000 - x) = 380
0.05x + 540 - 0.09x = 380
0.04 x = 160
x = 4000
y = 6000 -4000 = 2000
check: 4000 x 0.05 + 2000 x 0.09 = 200 + 180 = 380
Answer:Each tennis ball cost 0.67 cents.
Step-by-step explanation:
$10.05 divided by 15 equals 0.67 cents.
0.67 x 15 = $10.05
The missing side:
X= 40.70626 = 40.71
Answer:
<u>Approximately 16 tablets of medicine</u>
Step-by-step explanation:
Based on the information above , we can use a <u>Rule of Three</u> to first figure out how many mg the cat would need to ingest per day.
![\frac{5mg}{1kg} = \frac{x}{4.5kg}](https://tex.z-dn.net/?f=%5Cfrac%7B5mg%7D%7B1kg%7D%20%3D%20%5Cfrac%7Bx%7D%7B4.5kg%7D)
![\frac{5mg*4.5kg}{1kg} = 22.5mg](https://tex.z-dn.net/?f=%5Cfrac%7B5mg%2A4.5kg%7D%7B1kg%7D%20%3D%2022.5mg)
Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,
![22.5 / 10 = 2.25](https://tex.z-dn.net/?f=22.5%20%2F%2010%20%3D%202.25)
The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,
![2.25 * 7 = 15.75](https://tex.z-dn.net/?f=2.25%20%2A%207%20%3D%2015.75)
She would need to take<u> approximately 16 tablets of medicine</u> during the week .
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Answer:
Symmetric with respect to the polar axis in agreement with the second answer listed.
Step-by-step explanation:
This is the shape of a cardioid
it contains the function cosine of the angle so it must be symmetric with respect to the polar axis, since the cosine function is also symmetric for positive and negative values of the angle.