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strojnjashka [21]
1 year ago
8

Katy invests a total of $13,000 in two accounts paying 2% and 7% annual interest, respectively. How much was invested in each ac

count if, after one year, the total interest was $310.00.
Invested at 2%___?
Invested at 7%___?
Mathematics
1 answer:
kherson [118]1 year ago
4 0

Answer:

2 % amount = 12000     7% amount = 1000 dollars

Step-by-step explanation:

x = 2% amount

 then  13 000 - x  = 7% amount

.02x   + .07 (13000-x)  = 310

-.05x + 910 = 310

.05x = 600

x = 600/.05 = 12000      then the 7% amount is 1000

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sertanlavr [38]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{k = 3}}}}}

Step-by-step explanation:

\sf{4.5 + 1.5k = 18 - 3k}

Move 3k to left hand side and change it's sign

Similarly, move 4.5 to right hand side and change it's sign

\longrightarrow{ \sf{1.5k + 3k = 18 - 4.5}}

Collect like terms

\longrightarrow{ \sf{4.5k = 18 -  4.5}}

Subtract 4.5 from 18

\longrightarrow{ \sf{4.5k = 13.5}}

Divide both sides by 4.5

\longrightarrow{ \sf{ \frac{4.5k}{4.5}  =  \frac{13.5}{4.5} }}

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\longrightarrow{ \sf{k = 3}}

Hope I helped!

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2 years ago
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sweet [91]

Answer:

36.67 [mile/hour].

Step-by-step explanation:

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3) after the substitutuion  110 and 3 into the formula above:

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Answer:

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