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Vadim26 [7]
3 years ago
12

What is the product of (-a+3)(a+4)

Mathematics
1 answer:
4vir4ik [10]3 years ago
4 0

Answer:-a^2-a+12

Step-by-step explanation:

(-a+3)(a+4)

Clear brackets

-a^2-4a+3a+12

Add like terms

-a^2-a+12

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Last year, Susan had 10,000 to invest. She invested some of it in an account that paid 6%
katrin2010 [14]

Answer:

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

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

Part a) account that paid 6% simple interest per year

in this problem we have

t=1\ years\\ P=\$x\\r=0.06

substitute in the formula above

I1=x(0.06*1)

I1=0.06x

Part b) account that paid 5% simple interest per year

in this problem we have

t=1\ years\\ P=\$10,000-\$x\\r=0.05

substitute in the formula above

I2=(10,000-x)(0.05*1)

I2=500-0.05x

we know that

I1+I2=\$560

substitute and solve for x

0.06x+500-0.05x=560

0.01x=560-500

0.01x=60

x=\$6.000

therefore

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

6 0
3 years ago
find the size of each sample needed to estimate the difference between the proportions of boys and girls under 10 years old who
Alex Ar [27]

Answer:

sample

Step-by-step explanation:

6 0
2 years ago
In Exercises 15-18, find the measure of the exterior angle.​
valina [46]

Answer:

The measure of the exterior angle is 92 degrees

Step-by-step explanation:

Problem 16)

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

In this problem

(2x-2)\°=x\°+45\°

solve for x

2x-x=45+2

x=47\°

Find the measure of the exterior angle

(2x-2)\°=(2(47)-2)=92\°

6 0
3 years ago
What is the approximate length of the radius of a circle with a circumference of 63 inches?
Sergeeva-Olga [200]

Answer: 63/2π

Step-by-step explanation: C=πd  

                                             63=πd

                                             D=63/π

r=1/2d

1/2×63/π=<u>63/2π</u>

       

5 0
3 years ago
14. Find the slope-intercept form for the equation of the
UNO [17]
The correct answer here is D
8 0
3 years ago
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