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d1i1m1o1n [39]
3 years ago
6

Don opened a retirement account with an APR of 3.25% compounded monthly. He is planning to retire in 15 years. About how much wi

ll he have in the account when he retires if he deposits $750 a month? Include your work as best as possible. *
Mathematics
1 answer:
Andre45 [30]3 years ago
8 0

Answer:

Let the consecutive numbers be x and x+1

given

(x+1)^2=19+9x

x^2+2x+1=19+9x

like terms together

x^2+2x-9x+1-19=0

x^2-7x-18=0

factorize the quadratic equation to get the value of x

(x-9)(x+2)=0

x=9 and x=-2

we reject the second option

the answer is x=9 and x=9+1=10

x=9 and x=10

Thank you!

Step-by-step explanation:

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Decimal to fraction 0.31
xxMikexx [17]
.=1, any figure after . is o
so, 31/100
6 0
4 years ago
Quick please I really need this
Kipish [7]

Answer:

y = 39

Step-by-step explanation:

550 x \pi = \pi r^{2} x 11 + y

550 x \frac{7}{22} = \frac{7}{22} x 11 x 11 + y

550 x \frac{7}{22} x \frac{22}{7} = 11 x 11 + y

550 = 11 x 11 + y

\frac{550}{11} = \frac{11}{11} x 11 + y

50 = 11 + y

50 - 11 = y

39 = y

6 0
3 years ago
Using the solubility curve, choose all of the statements that are correct.
irinina [24]

Answer:

See explanation below

Step-by-step explanation:

According to the solubility curve attached, let's analyze each sentence to see which one is correct:

<u>"Solubility of NaCl is least affected by temperature"</u>

True. as you can see in the curve, solubility of NaCl remains almost constant at any value of temperature, so in this case, it does not matter the temperature, the NaCl solubility will be the same.

<u>"completely dissolve 60 g of KBr in 100 g of water at 20 °C"</u>

True. As you can see in the graph, solubility of KBr begins at 60 g, so in 20 °C we have something dissolved there. Actually you have like 70 g dissolved there, so, this is true.

<u>"The solubility of KNO3 is the least affected by changes in temperature"</u>

False. The curve for KNO3 is exponencial, so, changes in temperature do actually affect the solubility.

<u>"100 g of KBr will dissolve completely in 100 g of water at 75 °C"</u>

False. According to the curve, 100 g dissolve when we reach more than 100 °C. At 75 °C only about 85 g of KBr is dissolved.

<u>"if you mix 120 g of NaClO3 in 100 g of water at 10 °C, approximately 30 g will not dissolve"</u>

True. In the graph we can clearly see that at 10 °C only about 90 g is being dissolved so, the rest of the mass is still there as mass.

6 0
3 years ago
A recipe requires ¼ cup of oil for every ⅔ cup of water. How much oil (in cups) is needed per cup of water?
Ulleksa [173]

Answer:

3/8 cups

Step-by-step explanation:

Divide both sides by 2 to get the value for 1/3 cup of water:

1/3 cup water = 1/8 cup of oil

Now, multiply each side of the equation by 3 to get 1 cup of water:

1 cup water = 3/8 cup of oil

hope this helps!

8 0
3 years ago
Kyra went to the grocery store on Monday and bought 5 apples and 2 oranges for a total of $3.45. On Thursday she bought 3 orange
Afina-wow [57]

Answer:

5(x)+2(y)=3.45

7(x)+3(y)=4.90

7 0
3 years ago
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