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Oxana [17]
2 years ago
14

Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly. Assuming no deposits or withdrawals are

made, how much money, to the nearest dollar, would be in the account after 7 years?
Mathematics
1 answer:
barxatty [35]2 years ago
8 0

Answer:

A≈<u>107902</u>

Step-by-step explanation:

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Latanya buys 5 yard of blue fabric and 8 yards of green fabric. the blue fabric cost $2 dollars more than the green fabric.she p
Oksi-84 [34.3K]

Answer: $10

Step-by-step explanation:

let x = the price of green fabric, then x+2 = blue fabric price

8x+5(x+2)=62

8x+5x+10=62

    13x+10=62

          13x=52

              x=4

price of green fabric=$4

price of blue fabric=$6

4+6=$10

8 0
3 years ago
Miss lawrence buys 8 ounces of smoked salmon at 17.98 per pound how much money does mis lawrence spend on smoked salmon
elena-14-01-66 [18.8K]
Do cross multiplication.
Convert ounce to pound.
8 ounce is 0.5 lbs
x/0.5 = 17.95/1
x=8.975
Miss Lawrence spent about $8.98
6 0
3 years ago
If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid
Artist 52 [7]
Check the picture below.  Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm².  Also, recall, the base is a square, thus, length = width = x.

\bf \textit{volume of a rectangular prism}\\\\&#10;V=lwh\quad &#10;\begin{cases}&#10;l = length\\&#10;w=width\\&#10;h=height\\&#10;-----\\&#10;w=l=x&#10;\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\&#10;-------------------------------\\\\&#10;\textit{surface area}\\\\&#10;S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h&#10;\\\\\\&#10;\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\&#10;-------------------------------\\\\&#10;V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3

so.. that'd be the V(x) for such box, now, where is the maximum point at?

\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2&#10;\\\\\\&#10;\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100&#10;\\\\\\&#10;x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it.  Check the second picture below.

so, the volume will then be at   \bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3

6 0
3 years ago
Sara made 8 necklaces. She used 9 beads on each necklace. The beads came in bags of 6 each. How many bags
motikmotik

Answer:

12 bags

Step-by-step explanation:

9×8=72 beads all together

72/6=12 bags of beads

4 0
2 years ago
Linear function whose graph has a slope of 7
Inessa05 [86]

Answer:

y=7x?

Step-by-step explanation:

just a slope of 7 here, but you could add some # like y=7x+4

8 0
2 years ago
Read 2 more answers
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