please answer these, you dont need to explain everything just short answers, but answers must be correct.

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1.) 250 people were asked what their favorite pet is. 100 like dogs 87 like cats 40 like sh 45 like dogs and cats 12 like cats and sh 30 like dogs and sh 8 like all three Construct a Venn diagram. How many people like none of those? How many people like exactly one of these? 2.) Use a Venn diagram to determine if (A n B)' = A' U B 3.) U: {1,2,3,4,5,6,7,8,9},A = {1,3,5,7,9},B = {0,2,4,6,8},C = {2,4} a.) B' n C b.) n(A xB) c.) CB d.) List all the subsets of C 9.) Are A and B equivalent? Why or why not? 4.) Create a truth table for p a (q A~ r) 5.) Draw an Euler diagram to determine the validity of the statement: No lizards are furry animals. Some lizards are brown. No furry animals are brown 6.) Show that the set {3,5,7,9,...} has cardinality No by showing a one-to-one correspondence with natural numbers. 7.) True or false? If false, explain: a.) {3} e {1,3,5} b.) n({}) = n({1}) c.) {2} c {2,4,6} 8.) Gas prices increased from $3.59 to $3.99 per gallon at a certain gas station. Find the percent increase. 9.) Convert 345 into base 4 10.) 2315+45 11.) 57812+6A412 12.) 4563K 673 13.) 45911-29141; 14.) Maria borrowed $1400 at 5% interest compounded monthly for 4 years. How much will she have to pay back