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vodka [1.7K]
2 years ago
10

Mr. Altamirano opens an account with a simple interest on an account with $1000 at 3% annually for 9 months. How much interest d

id he earn?
Mathematics
1 answer:
gladu [14]2 years ago
7 0

Answer:

1022.50

Step-by-step explanation:

1000*.03= 30. (12mos interest)

30/4=7.50 quarterly interest

7.50x3 (9mos)= 22.50 interest

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Consider a computer that uses 6 bits to represent integers: 1 bit for the sign and 5 bits for the actual number. What's the larg
ycow [4]

Answer:

31

Step-by-step explanation:

Therefore, range of 5 bit unsigned binary number is from 0 to (25-1) which is equal from minimum value 0 (i.e., 00000) to maximum value 31 (i.e., 11111).

5 0
2 years ago
Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.
kolbaska11 [484]

Answer:

See explanation

Step-by-step explanation:

Triangles ΔABC and ΔBAD are congruent. So,

  • AB ≅ BA;
  • AC ≅ BD;
  • BC ≅ AD;
  • ∠ABC ≅ ∠BAD;
  • ∠BCA ≅ ∠ADB;
  • ∠CAB ≅ ∠DBA.

Consider triangles AEC and BED. In these triangles,

  • AC ≅ BD;
  • ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
  • ∠AEC ≅ ∠BED (as vertical angles).

So, ΔAEC ≅ ΔBED. Thus,

AE ≅ EB.

This means that segment CD bisects segment AD.

6 0
3 years ago
What is 60% of 400? Round to the nearest hundredth
Alexxandr [17]

Answer:240

Step-by-step explanation: Either multiply 400 by 6/10 or .6. Either way you get 240.

6 0
3 years ago
Read 2 more answers
What is the slope of a horizontal line? <br>​
drek231 [11]

Answer:

0 or Undefined

Step-by-step explanation:

5 0
2 years ago
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Given x^2 + y^2 = 36 and xy = -10 find x + y.
9966 [12]
This looks fun

ok so
we will use subsitution
xy=-10
divide both sides by x or y (I will choose y)
x=-10/y

sub -10/y fo x

(-10/y)^2+y^2=36
100/(y^2)+y^2=36
times both sides by y^2
100+y^4=36y^2
minus 36y^2 from both sides
y^4-36y^2+100=0
(y^2)^2-36(y^2)+100=0
quadratic formula
for
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
x=\frac{-(-36)+/- \sqrt{(-36)^2-4(1)(100)} }{2(1)}
x=18+/- 4\sqrt{14}

sub
y=-10/x
y=\frac{-10}{18+/- 4\sqrt{14}}

so x+y=18+/- 4\sqrt{14}+\frac{-10}{18+/- 4\sqrt{14}}
multiply first number by \frac{18+/- 4\sqrt{14}}{18+/- 4\sqrt{14}} and add them

x+y=\frac{(18+/- 4\sqrt{14})(18+/- 4\sqrt{14})-10}{18+/- 4\sqrt{14}}
or
x+y=\frac{81+22 \sqrt{14} }{5} or \frac{81-22 \sqrt{14} }{5}




8 0
2 years ago
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