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Lady_Fox
1 month ago
7

(HELP!!!) Gustavo invests £520 for 6 years in a bank account paying simple interest. At the end of 6 years, the amount in the ba

nk account is £629.20.
Calculate the annual rate of interest.
Mathematics
1 answer:
Inessa [12.5K]1 month ago
7 0
629.20 divided by 520 equals 1.21
Power of 6V1.21 equals 1.0323
Interest rate is 3.23
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Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your reco
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Answer:

The best mortgage option for them is (3).

Step-by-step explanation:

Mortgage offers (1) and (2) are similar since Damarco and Tanya's down payment of $34,000 (20% of the purchase price) requires them to pay interest over 30 years for both scenarios. Although option (1) entails approximately $750 monthly payments and option (2) requires about $9,000 annually, the total payments are quite comparable as option (2)'s interest rate, starting at 3.5%, could potentially rise but is unlikely to exceed 5%, while option (1) maintains a fixed annual interest rate of 4.25%.

Option (3), however, demands interest payments for only 8 years at a relatively lower annual rate of 4%. If they commit to $18,000 annually with a $34,000 down payment and repay the remaining balance (under $35,000) at the end of 8 years, it leads to the lowest total payment and quickest mortgage clearance among the three options. Therefore, this choice aligns best with their financial objectives.

6 0
1 month ago
Maximum value of x3y3 + 3 x*y when x+y = 8.
Inessa [12570]

Response:

The outcome is 4144.

Detailed explanation:

We need to determine the peak value of f(x)= x^{3}y^{3}+3xy when x+y=8

We can represent x+y=8 as y=8-x

Plugging the value of y

f(x)=x^{3}(8-x)^{3} +3x(8-x)

= 3x^{2}(8-x)^{2}[-x+8-x]+3[-x+8-x]

= 3(8-2x)[x^{2}(8-x)^{2}+1]

To find the maximum, we'll set the equation to 0.

Thus, we find:

8-2x=0 => x = 4

And since y=8-x

y =8-4= 4 > y = 4

Hence, we will substitute these values into the equation to ascertain the maximum value.

= x^{3}y^{3}+3xy

= xy(x^{2}y^{2}+3)

= 4\times4((16\times16) +3)

= 16(259) = 4144

8 0
1 month ago
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Svet_ta [12734]
If hannah knows why u no ask hannah

4 0
15 days ago
Gary has 32 ounces of soda. He shares it with 3 of his friends., splitting the soda evenly into 4 cups. He drinks 8 ounces of so
Svet_ta [12734]

0 ounces remain; since he distributed it evenly among four individuals, each cup contained 8 ounces, meaning he consumed the entire cup.

8 0
26 days ago
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∠UVW and ∠XYZ are complementary angles, m∠UVW=(x−10)º , and m∠XYZ=(4x−10)º .
lawyer [12517]

We recognize that two angles, ∠UVW and ∠XYZ, are complementary, which means their sum is 90°.

Their measures are given as:

∠UVW = x - 10

∠XYZ = 4x - 10

Adding these, we have:

(x - 10) + (4x - 10) = 90

Simplifying:

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Adding 20 to both sides:

5x = 110

Dividing by 5:

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Substituting back:

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∠XYZ = 4(22) - 10 = 78°

Therefore, the values are:

x = 22°

∠UVW = 12°

∠XYZ = 78°

6 0
2 months ago
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