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3 years ago

if $5,000,000 isinvested at 4% interest compunded continuously, how much willl the investment be worth in 30 years

1 answer:

8 0

The answer is $16216987.55 (IMPORTANT: This is the answer assuming that the interest rate is annually. The quesiton says 'continuously' so I was a bit confused)

To solve this problem, you can use the compound interest formula.

Here it is once you plug in the numbers: A = 5,000,000 ( 1 + .04) ^30

Just solve the equation to find the solution.

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Your friend gave you a gift card for your birthday. You use it to buy a DVD for

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The answer is $60.00

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3 years ago

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Ella is buying a $110 chair. She has a coupon for 15% off. How much does she pay for the chair if sales tax is $6

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Answer: the answer should be 99.5

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3 years ago

Which of the following is the correct usage of the distributive property of the expression: 3(x+1) ?

Alchen [17]

Answer: =3x+3

Step-by-step explanation:

$3\left(x+1\right)$

$\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac$

$3\left(x+1\right)=3x+3\cdot \:1$

$=3x+3\cdot \:1$

$\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3$

$=3x+3$

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3 years ago

For the equation 2(4x+10)=8x+k what value of k will create an equation with infinitely many solutions?

Komok [63]

20; make both equations equal so whatever you plug in for x will be the same
2(4x+10)=8x+k
8x+20=8x+k
k=20

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3 years ago

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Simplify the expression.<br><br> (−5g5h6)2(g4h2)4

Colt1911 [192]

We have to simplify the expression here. The expression given,

$(-5g^5h^6)^2(g^4h^2)^4$

Now to find $(-5g^5h^6)^2$ we will use power of a product property. We have to distribute the power here. We will get,

$(-5g^5h^6)^2 = (-5)^2(g^5)^2(h^6)^2$

= $25(g^5)^2(h^6)^2$

Now we will use power of a power property. If given $(a^m)^n$ we will have to multtiply the powers and we will get $a^{mn}$ . So we will get here,

$25(g^5)^2(h^6)^2 = 25 g^{10} h^{12}$

Now the next part is $(g^4h^2)^4$

By using power of a power property we will get,

$(g^4)^4(h^2)^4 = g^{16}h^8$

Now we have to multiply them.

$(25g^{10}h^{12} )(g^{16}h^8)$

Now we have to use product of powers property. If we have same base them we will have to add the exponents there. The formula is $(a^m)(a^n) = a^{(m+n)}$ . So we will get here,

$25(g^{10} g^{16})(h^{12} h^{8})$

$25g^{(10+16)} h^{(12+8)}$

$25g^{26}h^{20}$

So we have got the required simplified answer here.

The simplified answer is $25g^{26}h^{20}$ .

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3 years ago

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