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Arlecino [84]
3 years ago
8

Rose and Dennis each open a savings account at the same time. Rose invests $2,600 in an account yielding 4.1% simple interest, a

nd Dennis invests $2200 in an account yielding 5.7% simple interest. After nine years, who has the greater total amount of money, and how much greater is it?
Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0
The formula is
A=p (1+rt)
A future value
P present value
R interest rate
T time in years

Rose investment
A=2,600×(1+0.041×9)
A=3,559.4

Dennis investment
A=2,200×(1+0.057×9)
A=3,328.6

So Rose investment is greater than Dennis investment by
3,559.4−3,328.6=230.8

Hope it helps!
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You ask your friend which U.S. states have the greatest population densities. Your friend says it must be California and Texas b
Brilliant_brown [7]
"<span>-No, because California and Texas also have two of the greatest areas, so they may not have the greatest population densities." 

This is correct as the states such as New Jersey may not have as large as a population as Texas and California but, have a significantly less land than those states. Population density refers to people per km squared, which takes both land and population into account.

Hope this helps!
-Benjamin</span>
6 0
3 years ago
Explain how you can find the sign of the product of two or more rational numbers
Solnce55 [7]

Comparing two rational numbers

<span> Use fraction form: </span>

 

Make the denominators the same and compare the numerators. The number with the smaller numerator is smaller. For example, to compare a/b and c/d, we rewrite

 

a/b=a*d/b*d

<span>  = ad/bd and c/d = c*b/d*b=bc/bd</span>

 

Now just compare the numerators : "ad" and "bc"

 

<span>Multiplying and Dividing Rational Numbers  </span>

 

Multiplying and dividing rational numbers in decimal form is the same as multiplying and dividing integers. The decimal place of the product is the same of all decimals of all multiplied numbers. For example, 3.12*2.4.

 

Solution => 3.12*2.4=7.488

 

When multiplying or dividing rational numbers in fractional form, you multiply the numerators (N*N) and then multiply the denominators (D*D).

 

When dividing rational numbers in fractional form, first take the reciprocal of the divisor, and then multiply the numerators and the denominators.

 

Example => 5/9 divided by 2/7 .

 

<span>Solution => 5/9 * 7/2 =  35/18 </span>

 

 

Adding Rational numbers

 

Adding and Subtracting rational numbers in decimal form is the same as adding and subtracting integers.

 

Example => -3.54+2.79=-0.75

 

When adding or subtracting rational numbers in fractional form, first make the denominator equal, and then add or subtract the numerators. 

8 0
3 years ago
Can you guys help me to find the measure of each angle tysm.
barxatty [35]

Answer:

∠EBF = 51°

∠DBE = 17°

∠ABF = 141°

∠EBA = 90°

∠DBC = 107°

∠DBF = 68°

Step-by-step explanation:

Hope this helps

7 0
2 years ago
Read 2 more answers
I need some help with this calculus 1 implicit diffrention problem?
katen-ka-za [31]

Answer:

y" = -24 / y³

Step-by-step explanation:

6x² + y² = 4

Take the derivative of both sides with respect to x.

12x + 2y y' = 0

Again, take the derivative of both sides with respect to x.

12 + 2y y" + y' (2y') = 0

12 + 2y y" + 2(y')² = 0

Solve for y' in the first equation.

2y y' = -12x

y' = -6x/y

Substitute and solve for y":

12 + 2y y" + 2(-6x/y)² = 0

12 + 2y y" + 2(36x²/y²) = 0

12 + 2y y" + 72x²/y² = 0

6y² + y³ y" + 36x² = 0

y³ y" = -36x² − 6y²

y" = (-36x² − 6y²) / y³

Solve for y² in the original equation and substitute:

y² = 4 − 6x²

y" = (-36x² − 6(4 − 6x²)) / y³

y" = (-36x² − 24 + 36x²) / y³

y" = -24 / y³

7 0
3 years ago
In which of the following regions were the primary Dutch claims in America? A.along the Hudson River B.throughout the Ohio Valle
VashaNatasha [74]
The Hudson river valley-NYC was originally New Amsterdam
5 0
2 years ago
Read 2 more answers
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