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ExtremeBDS [4]
2 years ago
11

The product of two rational numbers:

Mathematics
1 answer:
Alexus [3.1K]2 years ago
8 0

Answer: So, multiplying two rationals is the same as multiplying two such fractions,  will result in another fraction of this same form since integers are closed under multiplication. , multiplying two rational numbers produces gets another rational number.

Step-by-step explanation:

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A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest
OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150

substitute in the formula above

I=P_1(r_1t)+P_2(r_2t)

1,150=x(0.0525*1)+(25,000-x)(0.04*1)

Solve for x

1,150=0.0525x+1,000-0.04x

0.0525x-0.04x=1,150-1,000

0.0125x=150

x=\$12,000

|$25,000-x=\$13,000

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0
3 years ago
Read 2 more answers
Adrian increased the amount of water he drinks he drinks everyday from 32 oz to 56 oz.By what percentage the amount of water he
Svetradugi [14.3K]
You can ask Siri. Answer is Increased 75%. “What percent is 56 out of 32.”
8 0
2 years ago
Where is the highest population denisty in the eastern United States?​
Leviafan [203]

Answer:

North east

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP ME!!! find the coordinates of the circumcenter of ABC. A(0,5), B(-4,5), C(-4,-3)
blondinia [14]
If you sketch the triangle you will see it is a right triangle with B being the vertex for the right angle. the orthocenter is the intercept of the three altitudes. for a right triangle, the orthocenter is the vertex where the right angle is.so the answer for this question is (-4,5)

6 0
3 years ago
Multiply the polynomials. (x – 5)(x2 + 4x – 2)
klemol [59]

the cheap answer is simply

(x-5)(x²+4x-2)

we can simply multiply the terms on one by the terms of the other and then add like-terms and simplify.

\bf (x-5)(x^2+4x-2)\implies \begin{array}{cllll} x^2+4x-2\\ \times x\\ \cline{1-1}\\ x^3+4x^2-2x \end{array}+ \begin{array}{cllll} x^2+4x-2\\ \times -5\\ \cline{1-1}\\ -5x^2-20x+10 \end{array} \\\\\\ x^3+4x^2-2x-5x^2-20x+10\implies x^3+4x^2-5x^2-2x-20x+10 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x^3-x^2-22x+10~\hfill

6 0
3 years ago
Read 2 more answers
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